Mukut Tripathi - Academia.edu (original) (raw)

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Papers by Mukut Tripathi

Research paper thumbnail of Ricci and scalar curvatures of submanifolds of a conformal Sasakian space form

Archivum Mathematicum, 2016

Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents ... more Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use.

Research paper thumbnail of Classification of ξ-Ricci-semisymmetric (κ,μ)-manifolds

Balkan Journal of Geometry and Its Applications

It is proved that for a non-Sasakian η-Einstein (κ, µ)-manifold M the following three conditions ... more It is proved that for a non-Sasakian η-Einstein (κ, µ)-manifold M the following three conditions are equivalent: (a) M is flat and 3-dimensional, (b) M is Ricci-semisymmetric, and (c) M is ξ-Riccisemisymmetric. Then it is proved that an ξ-Ricci-semisymmetric (κ, µ)manifold M 2n+1 is either flat and 3-dimensional, or locally isometric to E n+1 × S n (4), or an Einstein-Sasakian manifold.

Research paper thumbnail of The structure of some classes of K-contact manifolds

Proceedings Mathematical Sciences, 2008

The object of the present paper is to study a quarter-symmetric metric connection in an Lorentzia... more The object of the present paper is to study a quarter-symmetric metric connection in an Lorentzian α-Sasakian manifold. We study some curvature properties of an Lorentzian α-Sasakian manifold with respect to the quarter-symmetric metric connection. We study locally φ-symmetric, φsymmetric, locally projective φ-symmetric, ξ-projectively flat Lorentzian α-Sasakian manifold with respect to the quarter-symmetric metric connection.

Research paper thumbnail of Improved Chen–Ricci inequality for curvature-like tensors and its applications

Differential Geometry and its Applications, 2011

We present Chen-Ricci inequality and improved Chen-Ricci inequality for curvature like tensors. A... more We present Chen-Ricci inequality and improved Chen-Ricci inequality for curvature like tensors. Applying our improved Chen-Ricci inequality we study Lagrangian and Kaehlerian slant submanifolds of complex space forms, and C-totally real submanifolds of Sasakian space forms.

Research paper thumbnail of Ricci and scalar curvatures of submanifolds of a conformal Sasakian space form

Archivum Mathematicum, 2016

Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents ... more Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use.

Research paper thumbnail of Classification of ξ-Ricci-semisymmetric (κ,μ)-manifolds

Balkan Journal of Geometry and Its Applications

It is proved that for a non-Sasakian η-Einstein (κ, µ)-manifold M the following three conditions ... more It is proved that for a non-Sasakian η-Einstein (κ, µ)-manifold M the following three conditions are equivalent: (a) M is flat and 3-dimensional, (b) M is Ricci-semisymmetric, and (c) M is ξ-Riccisemisymmetric. Then it is proved that an ξ-Ricci-semisymmetric (κ, µ)manifold M 2n+1 is either flat and 3-dimensional, or locally isometric to E n+1 × S n (4), or an Einstein-Sasakian manifold.

Research paper thumbnail of The structure of some classes of K-contact manifolds

Proceedings Mathematical Sciences, 2008

The object of the present paper is to study a quarter-symmetric metric connection in an Lorentzia... more The object of the present paper is to study a quarter-symmetric metric connection in an Lorentzian α-Sasakian manifold. We study some curvature properties of an Lorentzian α-Sasakian manifold with respect to the quarter-symmetric metric connection. We study locally φ-symmetric, φsymmetric, locally projective φ-symmetric, ξ-projectively flat Lorentzian α-Sasakian manifold with respect to the quarter-symmetric metric connection.

Research paper thumbnail of Improved Chen–Ricci inequality for curvature-like tensors and its applications

Differential Geometry and its Applications, 2011

We present Chen-Ricci inequality and improved Chen-Ricci inequality for curvature like tensors. A... more We present Chen-Ricci inequality and improved Chen-Ricci inequality for curvature like tensors. Applying our improved Chen-Ricci inequality we study Lagrangian and Kaehlerian slant submanifolds of complex space forms, and C-totally real submanifolds of Sasakian space forms.

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