{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,19]],"date-time":"2025-09-19T09:33:01Z","timestamp":1758274381525},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2015,2,14]],"date-time":"2015-02-14T00:00:00Z","timestamp":1423872000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Adv. Appl. Clifford Algebras"],"published-print":{"date-parts":[[2015,9]]},"DOI":"10.1007\/s00006-015-0527-z","type":"journal-article","created":{"date-parts":[[2015,2,17]],"date-time":"2015-02-17T10:03:44Z","timestamp":1424167424000},"page":"657-672","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Best Pair of Two Skew Lines over the Octonions"],"prefix":"10.1007","volume":"25","author":[{"given":"P.","family":"Saraiva","sequence":"first","affiliation":[]},{"given":"P. D.","family":"Beites","sequence":"additional","affiliation":[]},{"given":"J.","family":"Fernandes","sequence":"additional","affiliation":[]},{"given":"C.","family":"Costa","sequence":"additional","affiliation":[]},{"given":"Jos\u00e9","family":"Vit\u00f3ria","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,2,14]]},"reference":[{"key":"527_CR1","unstructured":"T. Appelquist, A. Chodos and P. G. O. Freund, Modern Kaluza-Klein Theories. Addison-Wesley, California, Los Angeles, 1987."},{"key":"527_CR2","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1016\/S0370-2693(98)00466-3","volume":"429","author":"N. Arkani-Hamed","year":"1998","unstructured":"Arkani-Hamed N., Dimopoulos S., Dvali G.R.: The Hierarchy Problem and New Dimensions at a Millimeter. Physics Letters B 429, 263\u2013272 (1998)","journal-title":"Physics Letters B"},{"key":"527_CR3","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1090\/S0273-0979-01-00934-X","volume":"39","author":"J.C. Baez","year":"2002","unstructured":"Baez J.C.: The Octonions. Bulletin of the American Mathematical Society 39, 145\u2013205 (2002)","journal-title":"Bulletin of the American Mathematical Society"},{"key":"527_CR4","doi-asserted-by":"crossref","first-page":"222","DOI":"10.1007\/BF02564418","volume":"42","author":"R.B. Brown","year":"1967","unstructured":"Brown R.B., Gray A.: Vector Cross Products. Commentarii Mathematici Helvetici 42, 222\u2013236 (1967)","journal-title":"Commentarii Mathematici Helvetici"},{"key":"527_CR5","unstructured":"H.-D. Ebbinghaus, H. Hermes, F. Hirzebruch, M. Koecher, K. Mainzer, J. Neukirch, A. Prestel and R. Remmert, Numbers. Springer, New York, 1995."},{"key":"527_CR6","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1007\/BF02854388","volume":"7","author":"N. Jacobson","year":"1958","unstructured":"Jacobson N.: Composition Algebras and their Automorphisms. Rendiconti del Circolo Matematico di Palermo 7, 55\u201380 (1958)","journal-title":"Rendiconti del Circolo Matematico di Palermo"},{"key":"527_CR7","unstructured":"P.-J. Laurent, Approximation et Optimisation. Hermann, Paris, 1972."},{"key":"527_CR8","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1080\/03081089308818216","volume":"34","author":"F.S. Leite","year":"1993","unstructured":"Leite F.S.: The Geometry of Hypercomplex Matrices. Linear and Multilinear Algebra 34, 123\u2013132 (1993)","journal-title":"Linear and Multilinear Algebra"},{"key":"527_CR9","doi-asserted-by":"crossref","first-page":"07","DOI":"10.1016\/S0034-4877(97)89756-X","volume":"39","author":"F.S. Leite","year":"1997","unstructured":"Leite F.S., Crouch P.: The Triple Cross Product in $${\\mathbb{R}^{7}}$$ R 7 . Reports on Mathematical Physics 39, 07\u2013424 (1997)","journal-title":"Reports on Mathematical Physics"},{"key":"527_CR10","volume-title":"Optimization by Vector Space Methods","author":"D.G. Luenberger","year":"1969","unstructured":"Luenberger D.G.: Optimization by Vector Space Methods. john Wiley and Sons, New York (1969)"},{"key":"527_CR11","first-page":"24","volume":"80","author":"L. McDonald K.","year":"2009","unstructured":"McDonald K. L.: Warping the Universal Extra Dimensions. Physical Review D 80, 24\u201338 (2009)","journal-title":"Physical Review D"},{"key":"527_CR12","first-page":"1","volume":"9","author":"A.D. Medina","year":"2011","unstructured":"Medina A.D., Medina A.D., Medina A.D.: Warped Radion Dark Matter. Journal of High Energy Physics 9, 1\u201346 (2011)","journal-title":"Journal of High Energy Physics"},{"key":"527_CR13","volume-title":"Introduction to Octonion and other Non-Associative Algebras in Physics","author":"S. Okubo","year":"2005","unstructured":"Okubo S.: Introduction to Octonion and other Non-Associative Algebras in Physics. Cambridge University Press, New York (2005)"},{"key":"527_CR14","doi-asserted-by":"crossref","first-page":"3370","DOI":"10.1103\/PhysRevLett.83.3370","volume":"83","author":"L. Randall","year":"1999","unstructured":"Randall L., Sundrum R.: Large mass hierarchy from a small extra dimension. Physical Review Letters 83, 3370\u20133373 (1999)","journal-title":"Physical Review Letters"},{"key":"527_CR15","doi-asserted-by":"crossref","first-page":"803","DOI":"10.1080\/0020739870180606","volume":"18","author":"R. Shaw","year":"1987","unstructured":"Shaw R.: Vector cross products in n dimensions. International Journal of Mathematical Education in Science and Technology 18, 803\u2013816 (1987)","journal-title":"International Journal of Mathematical Education in Science and Technology"},{"key":"527_CR16","doi-asserted-by":"crossref","unstructured":"J. P. Ward, Quaternions and Cayley Numbers. Kluwer, Dordrecht, 1997.","DOI":"10.1007\/978-94-011-5768-1"}],"container-title":["Advances in Applied Clifford Algebras"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00006-015-0527-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00006-015-0527-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00006-015-0527-z","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,22]],"date-time":"2019-05-22T13:41:57Z","timestamp":1558532517000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00006-015-0527-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,2,14]]},"references-count":16,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2015,9]]}},"alternative-id":["527"],"URL":"https:\/\/doi.org\/10.1007\/s00006-015-0527-z","relation":{},"ISSN":["0188-7009","1661-4909"],"issn-type":[{"value":"0188-7009","type":"print"},{"value":"1661-4909","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,2,14]]}}}