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Transversal hypersurfaces with (f,g,u,v,λ)-structure of a nearly trans-Sasakian manifold
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Rajendra Prasad
Published/Copyright:
December 9, 2015
Abstract
In this paper, we study some properties of transversal hypersurfaces of a nearly trans-Sasakian manifold. Furthermore, we give some characterizations of totally geodesic regarding such manifolds. We also prove that if M is a transversal hypersurface of a nearly cosymplectic manifold M˜, equipped with a contact structure under the condition that a vector field V is parallel, then M is totally geodesic.
The authors would like to thank the anonymous reviewers for their valuable comments and suggestions which improved the quality of the paper.
Received: 2014-5-19
Revised: 2015-11-5
Accepted: 2015-11-6
Published Online: 2015-12-9
Published in Print: 2016-4-1
© 2016 by De Gruyter
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Articles in the same Issue
- Frontmatter
- The Riesz–Herz equivalence for capacitary maximal functions on metric measure spaces
- On graded classical primary submodules
- Existence and multiplicity results for fractional p-Kirchhoff equation with sign changing nonlinearities
- Transversal hypersurfaces with (f,g,u,v,λ)-structure of a nearly trans-Sasakian manifold
- Generalized solution for a class of Hamilton–Jacobi equations
- Characterizations of symmetric cones by means of the basic relative invariants of homogeneous cones
Articles in the same Issue
- Frontmatter
- The Riesz–Herz equivalence for capacitary maximal functions on metric measure spaces
- On graded classical primary submodules
- Existence and multiplicity results for fractional p-Kirchhoff equation with sign changing nonlinearities
- Transversal hypersurfaces with (f,g,u,v,λ)-structure of a nearly trans-Sasakian manifold
- Generalized solution for a class of Hamilton–Jacobi equations
- Characterizations of symmetric cones by means of the basic relative invariants of homogeneous cones
