N(κ)−contact metric manifolds with generalized Tanaka-Webster connection
Filomat, Tome 35 (2021) no. 4, p. 1383
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In this paper, we characterize N(κ)-contact metric manifolds with generalized Tanaka-Webster connection.We obtain some curvature properties. It is proven that if an N(κ)-contact metric manifold with generalized Tanaka-Webster connection is K-contact then it is an example of generalized Sasakian space form. Also, we examine some flatness and symmetric conditions of concircular curvature tensor on an N(κ)-contact metric manifolds with generalized Tanaka-Webster connection
Classification :
53C15, 53C25, 53D10
Keywords: N(κ)-contact metric manifold, generalized Tanaka-Webster connection, Sasakian space form
Keywords: N(κ)-contact metric manifold, generalized Tanaka-Webster connection, Sasakian space form
Ínan Ünal; Mustafa Altın. N(κ)−contact metric manifolds with generalized Tanaka-Webster connection. Filomat, Tome 35 (2021) no. 4, p. 1383 . doi: 10.2298/FIL2104383U
@article{10_2298_FIL2104383U,
author = {\'Inan \"Unal and Mustafa Alt{\i}n},
title = {N(\ensuremath{\kappa})\ensuremath{-}contact metric manifolds with generalized {Tanaka-Webster} connection},
journal = {Filomat},
pages = {1383 },
year = {2021},
volume = {35},
number = {4},
doi = {10.2298/FIL2104383U},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2104383U/}
}
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