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Screen Slant Lightlike Submanifolds of Indefinite Kenmotsu Manifolds
Gupta, Ram Shankar,Upadhyay, Abhitosh Department of Mathematics 2010 Kyungpook mathematical journal Vol.50 No.2
In this paper, we introduce the notion of a screen slant lightlike submanifold of an indefinite Kenmotsu manifold. We provide characterization theorem for existence of screen slant lightlike submanifold with examples. Also, we give an example of a minimal screen slant lightlike submanifold of $R_2^9$ and prove some characterization theorems.
Ricci Semi-Symmetric Lightlike Hypersurfaces of an Indefinite Cosymplectic Space Form
Gupta, Ram Shankar Department of Mathematics 2013 Kyungpook mathematical journal Vol.53 No.4
This paper is devoted to study Ricci semi-symmetric lightlike hypersurfaces of an indefinite cosymplectic space form with structure vector field tangent to hypersurface. The condition for Ricci tensor of lightlike hypersurface of indefinite cosymplectic space form to be semi-symmetric and parallel have been obtained. An example of non-totally geodesic Ricci semi-symmetric lightlike hypersurface in $R^7_2$ have been given.
B. Y. Chen's Inequality and Its Application to Slant Immersions into Kenmotsu Manifolds
Ram Shankar Gupta,Iqbal Ahmad,S. M. Khursheed Haider 경북대학교 자연과학대학 수학과 2004 Kyungpook mathematical journal Vol.44 No.1
In this paper, we have studied an inequality similar to B. Y. Chen's Inequality for a submanifold of a Kenmotsu manifold.
*-Ricci Soliton on (κ < 0, µ)-almost Cosymplectic Manifolds
Savita Rani,Ram Shankar Gupta 경북대학교 자연과학대학 수학과 2022 Kyungpook mathematical journal Vol.62 No.2
We study *-Ricci solitons on non-cosymplectic (κ, μ)-acs (almost cosymplec-tic) manifolds M. We find *-solitons that are steady, and such that both the scalarcurvature and the divergence of the potential field is negative. Further, we study concurrent, concircular, torse forming and torqued vector fields on M admitting Ricci and*-Ricci solitons. Also, we provide some examples.
Biharmonic Hypersurfaces with Constant Scalar Curvature in E<sup>5</sup><sub>s</sub>
Deepika, Deepika,Gupta, Ram Shankar,Sharfuddin, A. Department of Mathematics 2016 Kyungpook mathematical journal Vol.56 No.1
In this paper, we obtain that every biharmonic non-degenerate hypersurfaces in semi-Euclidean space $E^5_s$ with constant scalar curvature of diagonal shape operator has zero mean curvature.
Spherical Indicatrix of a New Approach to Bertrand Curves in Euclidean 3-space
Stuti Tamta,Ram Shankar Gupta 경북대학교 자연과학대학 수학과 2023 Kyungpook mathematical journal Vol.63 No.2
In this paper, we investigate the spherical indicatrices of a new relationship between Bertrand pair curves in Euclidean 3-space. We obtain necessary and sufficient conditions for this type of Bertrand pair curves to be slant helix, and provide an example