{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T07:25:55Z","timestamp":1742973955693,"version":"3.40.3"},"publisher-location":"Cham","reference-count":30,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319684444"},{"type":"electronic","value":"9783319684451"}],"license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017]]},"DOI":"10.1007\/978-3-319-68445-1_99","type":"book-chapter","created":{"date-parts":[[2017,10,24]],"date-time":"2017-10-24T00:40:36Z","timestamp":1508805636000},"page":"864-871","source":"Crossref","is-referenced-by-count":0,"title":["Real Hypersurfaces in the Complex Quadric with\u00a0Certain Condition of Normal Jacobi\u00a0Operator"],"prefix":"10.1007","author":[{"given":"Imsoon","family":"Jeong","sequence":"first","affiliation":[]},{"given":"Gyu Jong","family":"Kim","sequence":"additional","affiliation":[]},{"given":"Young Jin","family":"Suh","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,10,24]]},"reference":[{"key":"99_CR1","unstructured":"Berndt, J., Suh, Y.J.: Real hypersurfaces with isometric Reeb flow in complex quadric. Int. J. Math. 24, 1350050 (2013). (18 pages)"},{"key":"99_CR2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-74311-8","volume-title":"Einstein Manifolds","author":"AL Besse","year":"2008","unstructured":"Besse, A.L.: Einstein Manifolds. Springer, Heidelberg (2008). doi: 10.1007\/978-3-540-74311-8"},{"key":"99_CR3","first-page":"15","volume":"47","author":"A Derdzinski","year":"1980","unstructured":"Derdzinski, A., Shen, C.L.: Codazzi tensor fields, curvature and Pontryagin forms. Proc. London Math. Soc. 47, 15\u201326 (1980)","journal-title":"Proc. London Math. Soc."},{"key":"99_CR4","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1007\/s10474-009-8245-4","volume":"125","author":"I Jeong","year":"2009","unstructured":"Jeong, I., Lee, H., Suh, Y.J.: Real hypersurfaces in complex two-plane Grassmannians whose structure Jacobi operator is of Codazzi type. Acta Math. Hungar. 125, 141\u2013160 (2009)","journal-title":"Acta Math. Hungar."},{"key":"99_CR5","doi-asserted-by":"publisher","unstructured":"Jeong, I., Kim G.J., Suh, Y.J.: Real hypersurfaces in the complex quadric with normal Jacobi operator of Codazzi type. Bull. Malays. Math. Sci. Soc. (to appear). doi: 10.1007\/s40840-017-0485-9","DOI":"10.1007\/s40840-017-0485-9"},{"key":"99_CR6","doi-asserted-by":"crossref","first-page":"203","DOI":"10.5486\/PMD.2010.4535","volume":"76","author":"I Jeong","year":"2010","unstructured":"Jeong, I., Kim, H.J., Suh, Y.J.: Real hypersurfaces in complex two-plane Grassmannians with parallel normal Jacobi operator. Publ. Math. Debrecen 76, 203\u2013218 (2010)","journal-title":"Publ. Math. Debrecen"},{"key":"99_CR7","doi-asserted-by":"crossref","first-page":"655","DOI":"10.1142\/S0129167X11006957","volume":"22","author":"I Jeong","year":"2011","unstructured":"Jeong, I., Machado, C.J.G., P\u00e9rez, J.D., Suh, Y.J.: Real hypersurfaces in complex two-plane Grassmannians with $$\\mathfrak{D}^{\\bot }$$ -parallel structure Jacobi operator. Int. J. Math. 22, 655\u2013673 (2011)","journal-title":"Int. J. Math."},{"key":"99_CR8","doi-asserted-by":"crossref","first-page":"591","DOI":"10.1007\/s10231-012-0292-8","volume":"193","author":"I Jeong","year":"2014","unstructured":"Jeong, I., Machado, C.J.G., P\u00e9rez, J.D., Suh, Y.J.: $$\\cal{D}$$ -parallelism of normal and structure Jacobi operators for hypersurfaces in complex two-plane Grassmannians. Ann. Mat. Pura. Appl. 193, 591\u2013608 (2014)","journal-title":"Ann. Mat. Pura. Appl."},{"key":"99_CR9","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1016\/j.difgeo.2007.11.004","volume":"26","author":"S Klein","year":"2008","unstructured":"Klein, S.: Totally geodesic submanifolds in the complex quadric. Differ. Geom. Appl. 26, 79\u201396 (2008)","journal-title":"Differ. Geom. Appl."},{"key":"99_CR10","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1090\/S0002-9947-1986-0837803-2","volume":"296","author":"M Kimura","year":"1986","unstructured":"Kimura, M.: Real hypersurfaces and complex submanifolds in complex projective space. Trans. Amer. Math. Soc. 296, 137\u2013149 (1986)","journal-title":"Trans. Amer. Math. Soc."},{"key":"99_CR11","first-page":"1","volume":"5","author":"M Kimura","year":"1987","unstructured":"Kimura, M.: Some real hypersurfaces of a complex projective space. Saitama Math. J. 5, 1\u20135 (1987)","journal-title":"Saitama Math. J."},{"key":"99_CR12","unstructured":"Kobayashi, S., Nomizu, K.: Foundations of Differential Geometry. Vol. II. A Wiley-Interscience Publication, Wiley Classics Library Edition (1996)"},{"key":"99_CR13","doi-asserted-by":"crossref","first-page":"578","DOI":"10.2478\/s11533-011-0022-2","volume":"9","author":"CJG Machado","year":"2011","unstructured":"Machado, C.J.G., P\u00e9rez, J.D., Jeong, I., Suh, Y.J.: Real hypersurfaces in complex two-plane Grassmannians whose normal Jacobi opertor is of Codazzi type. Cent. Eur. J. Math. 9, 578\u2013582 (2011)","journal-title":"Cent. Eur. J. Math."},{"key":"99_CR14","doi-asserted-by":"crossref","first-page":"218","DOI":"10.1016\/j.difgeo.2007.11.015","volume":"26","author":"JD P\u00e9rez","year":"2008","unstructured":"P\u00e9rez, J.D., Santos, F.G.: Real hypersurfaces in complex projective space with recurrent structure Jacobi operator. Differential Geom. Appl. 26, 218\u2013223 (2008)","journal-title":"Differential Geom. Appl."},{"key":"99_CR15","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1016\/j.difgeo.2004.10.005","volume":"22","author":"JD P\u00e9rez","year":"2005","unstructured":"P\u00e9rez, J.D., Santos, F.G., Suh, Y.J.: Real hypersurfaces in complex projective space whose structure Jacobi operator is Lie $$\\xi $$ -parallel. Differ. Geom. Appl. 22, 181\u2013188 (2005)","journal-title":"Differ. Geom. Appl."},{"key":"99_CR16","doi-asserted-by":"crossref","first-page":"459","DOI":"10.36045\/bbms\/1161350687","volume":"13","author":"JD P\u00e9rez","year":"2006","unstructured":"P\u00e9rez, J.D., Santos, F.G., Suh, Y.J.: Real hypersurfaces in complex projective space whose structure Jacobi operator is $$\\cal{D}$$ -parallel. Bull. Belg. Math. Soc. 13, 459\u2013469 (2006)","journal-title":"Bull. Belg. Math. Soc."},{"key":"99_CR17","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1016\/S0926-2245(97)00003-X","volume":"7","author":"JD P\u00e9rez","year":"1997","unstructured":"P\u00e9rez, J.D., Suh, Y.J.: Real hypersurfaces of quaternionic projective space satisfying $${\\nabla }_{U_i}R=0$$ . Differ. Geom. Appl. 7, 211\u2013217 (1997)","journal-title":"Differ. Geom. Appl."},{"key":"99_CR18","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1023\/A:1010676103922","volume":"91","author":"JD P\u00e9rez","year":"2001","unstructured":"P\u00e9rez, J.D., Suh, Y.J.: Certain conditions on the Ricci tensor of real hypersurfaces in quaternionic projective space. Acta Math. Hungar. 91, 343\u2013356 (2001)","journal-title":"Acta Math. Hungar."},{"key":"99_CR19","doi-asserted-by":"crossref","first-page":"211","DOI":"10.4134\/JKMS.2007.44.1.211","volume":"44","author":"JD P\u00e9rez","year":"2007","unstructured":"P\u00e9rez, J.D., Suh, Y.J.: The Ricci tensor of real hypersurfaces in complex two-plane Grassmannians. J. Korean Math. Soc. 44, 211\u2013235 (2007)","journal-title":"J. Korean Math. Soc."},{"key":"99_CR20","unstructured":"Reckziegel, H.: On the geometry of the complex quadric. In: Geometry and Topology of Submanifolds VIII. World Scientific Publishing, River Edge. pp. 302\u2013315 (1995)"},{"key":"99_CR21","doi-asserted-by":"crossref","first-page":"246","DOI":"10.2307\/1970441","volume":"85","author":"B Smyth","year":"1967","unstructured":"Smyth, B.: Differential geometry of complex hypersurfaces. Ann. Math. 85, 246\u2013266 (1967)","journal-title":"Ann. Math."},{"key":"99_CR22","doi-asserted-by":"crossref","first-page":"493","DOI":"10.1017\/S000497270003728X","volume":"68","author":"YJ Suh","year":"2003","unstructured":"Suh, Y.J.: Real hypersurfaces in complex two-plane Grassmannians with parallel shape operator. Bull. Austral. Math. Soc. 68, 493\u2013502 (2003)","journal-title":"Bull. Austral. Math. Soc."},{"key":"99_CR23","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1007\/s00605-005-0329-9","volume":"147","author":"YJ Suh","year":"2006","unstructured":"Suh, Y.J.: Real hypersurfaces of type B in complex two-plane Grassmannians. Monatsh. Math. 147, 337\u2013355 (2006)","journal-title":"Monatsh. Math."},{"key":"99_CR24","doi-asserted-by":"crossref","first-page":"1309","DOI":"10.1017\/S0308210510001472","volume":"142","author":"YJ Suh","year":"2012","unstructured":"Suh, Y.J.: Real hypersurfaces in complex two-plane Grassmannians with parallel Ricci tensor. Proc. Roy. Soc. Edinburgh Sect. A. 142, 1309\u20131324 (2012)","journal-title":"Proc. Roy. Soc. Edinburgh Sect. A."},{"key":"99_CR25","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1016\/j.matpur.2012.10.010","volume":"100","author":"YJ Suh","year":"2013","unstructured":"Suh, Y.J.: Real hypersurfaces in complex two-plane Grassmannians with harmonic curvature. J. Math. Pures Appl. 100, 16\u201333 (2013)","journal-title":"J. Math. Pures Appl."},{"key":"99_CR26","doi-asserted-by":"crossref","first-page":"645","DOI":"10.1016\/j.aam.2013.01.001","volume":"50","author":"YJ Suh","year":"2013","unstructured":"Suh, Y.J.: Hypersurfaces with isometric Reeb flow in complex hyperbolic two-plane Grassmannians. Adv. Appl. Math. 50, 645\u2013659 (2013)","journal-title":"Adv. Appl. Math."},{"key":"99_CR27","unstructured":"Suh, Y.J.: Real hypersurfaces in the complex quadric with Reeb parallel shape operator. Internat. J. Math. 25, 1450059 (2014). 17 pp"},{"key":"99_CR28","doi-asserted-by":"crossref","first-page":"886","DOI":"10.1016\/j.aim.2015.05.012","volume":"281","author":"YJ Suh","year":"2015","unstructured":"Suh, Y.J.: Real hypersurfaces in the complex quadric with parallel Ricci tensor. Adv. Math. 281, 886\u2013905 (2015)","journal-title":"Adv. Math."},{"key":"99_CR29","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1016\/j.matpur.2016.02.015","volume":"106","author":"YJ Suh","year":"2016","unstructured":"Suh, Y.J.: Real hypersurfaces in the complex quadric with harmonic curvature. J. Math. Pures Appl. 106, 393\u2013410 (2016)","journal-title":"J. Math. Pures Appl."},{"key":"99_CR30","doi-asserted-by":"crossref","first-page":"442","DOI":"10.1002\/mana.201500428","volume":"290","author":"YJ Suh","year":"2017","unstructured":"Suh, Y.J.: Real hypersurfaces in the complex quadric with parallel normal Jacobi operator. Math. Nachr. 290, 442\u2013451 (2017)","journal-title":"Math. Nachr."}],"container-title":["Lecture Notes in Computer Science","Geometric Science of Information"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-68445-1_99","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,27]],"date-time":"2023-08-27T13:06:34Z","timestamp":1693141594000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-68445-1_99"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"ISBN":["9783319684444","9783319684451"],"references-count":30,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-68445-1_99","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2017]]}}}