On The Conharmonic Curvature Tensor of Nearly Cosymplectic Manifolds with Generalized Tanaka-Webster Connection Spaces.
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Tarih
2021
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Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Almost contact manifolds with Killing structures tensors were defined in [4] as nearly cosymplectic manifolds. Blair and Showers [4] studied nearly cosymplectic structure (o. & n. g) on a Riemannian manifold M with ? closed from the topological viewpoint. An almost contact metric structure (?. ? ?. g) satisfying (VxQ)X=0 is called a nearly cosymplectic structure[2]. In addition, a generalized Tanaka-Webster connection has been introduced by Tanno [5] as a generalization of Tabaka-Webster connection. Contact manifolds with generalized Tanaka-Webster connection were studied by many researchers In this study, based on previous works, we focus Tanaka-Webster connection on nearly cosymplectic manifolds and we obtain some results. Also we study conharmonic curvature tensor of nearly cosymplectic manifolds with generalized Tanaka-Webster connection and we give a conharmonically flat nearly cosymplectic manifold with respect to the connection V.
Açıklama
Anahtar Kelimeler
Nearly cosymplectic manifolds, generalized Tanaka-Webster connection, conharmonic curvature tensor.
Kaynak
4th International E-Conference on Mathematical Advances and Applications
