{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,22]],"date-time":"2025-05-22T07:13:04Z","timestamp":1747897984104},"reference-count":16,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2012,1,1]],"date-time":"2012-01-01T00:00:00Z","timestamp":1325376000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"name":"Ad\u0131yaman University","award":["FEFBAP\/2012-005"],"award-info":[{"award-number":["FEFBAP\/2012-005"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2012]]},"abstract":"<jats:p>We study canonical paracontact connection on a para-Sasakian manifold. We prove that a Ricci-flat para-Sasakian manifold with respect to canonical paracontact connection is an<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>\u03b7<\/mml:mi><\/mml:mrow><\/mml:math>-Einstein manifold. We also investigate some properties of curvature tensor, conformal curvature tensor,<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:msub><mml:mi>W<\/mml:mi><mml:mn>2<\/mml:mn><\/mml:msub><\/mml:mrow><\/mml:math>-curvature tensor, concircular curvature tensor, projective curvature tensor, and pseudo-projective curvature tensor with respect to canonical paracontact connection on a para-Sasakian manifold. It is shown that a concircularly flat para-Sasakian manifold with respect to canonical paracontact connection is of constant scalar curvature. We give some characterizations for pseudo-projectively flat para-Sasakian manifolds.<\/jats:p>","DOI":"10.1155\/2012\/395462","type":"journal-article","created":{"date-parts":[[2012,12,31]],"date-time":"2012-12-31T16:04:28Z","timestamp":1356969868000},"page":"1-24","source":"Crossref","is-referenced-by-count":5,"title":["Some Curvature Conditions on a Para-Sasakian Manifold with Canonical Paracontact Connection"],"prefix":"10.1155","volume":"2012","author":[{"given":"Bilal Eftal","family":"Acet","sequence":"first","affiliation":[{"name":"Department of Mathematics, Arts and Science Faculty, Ad\u0131yaman University, 02040 Ad\u0131yaman, Turkey"}]},{"given":"Erol","family":"K\u0131l\u0131\u00e7","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Arts and Science Faculty, \u0130n\u00f6n\u00fc University, 44280 Malatya, Turkey"}]},{"given":"Selcen","family":"Y\u00fcksel Perkta\u015f","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Arts and Science Faculty, Ad\u0131yaman University, 02040 Ad\u0131yaman, Turkey"}]}],"member":"98","reference":[{"key":"9","first-page":"219","volume":"30","year":"1976","journal-title":"Tensor N. 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