Sachin Kumar Srivastava
@cuhimachal.ac.in
Scopus Publications
Scopus Publications
Sachin Kumar Srivastava and Anuj Kumar
Elsevier BV
S. Thakur, V. Singh, A. Kumar, A. K. Singh, and S. K. Srivastava
Springer Science and Business Media LLC
Yanlin Li, Sachin Kumar Srivastava, Fatemah Mofarreh, Anuj Kumar, and Akram Ali
MDPI AG
In this article, we derived an equality for CR-warped product in a complex space form which forms the relationship between the gradient and Laplacian of the warping function and second fundamental form. We derived the necessary conditions of a CR-warped product submanifolds in Ka¨hler manifold to be an Einstein manifold in the impact of gradient Ricci soliton. Some classification of CR-warped product submanifolds in the Ka¨hler manifold by using the Euler–Lagrange equation, Dirichlet energy and Hamiltonian is given. We also derive some characterizations of Einstein warped product manifolds under the impact of Ricci Curvature and Divergence of Hessian tensor.
M. Dhiman, A. Kumar, and S. K. Srivastava
Springer Science and Business Media LLC
Sachin Kumar Srivastava, Fatemah Mofarreh, Anuj Kumar, and Akram Ali
MDPI AG
In this article, we study the properties of PR-pseudo-slant submanifold of para-Kenmotsu manifold and obtain the integrability conditions for the slant distribution and anti-invariant distribution of such submanifold. We derived the necessary and sufficient conditions for a PR-pseudo-slant submanifold of para-Kenmotsu manifold to be a PR-pseudo-slant warped product which are in terms of warping functions and shape operator. Some examples of PR-pseudo-slant warped products of para-Kenmotsu manifold are also illustrated in the article.
S.K. Srivastava, K. Sood, and K. Srivastava
Oles Honchar Dnipropetrovsk National University
The main purpose of this paper is to study biharmonic hypersurface in a quasi-paraSasakian manifold $\\mathbb{Q}^{2m+1}$. Biharmonic hypersurfaces are special cases of biharmonic maps and biharmonic maps are the critical points of the bienergy functional. The condition of biharmonicity for non-degenerate hypersurfaces in $\\mathbb{Q}^{2m+1}$ is investigated for both cases: either the characteristic vector field of $\\mathbb{Q}^{2m+1}$ is the unit normal vector field to the hypersurface or it belongs to the tangent space of the hypersurface. Some relevant examples are also illustrated.
Fatemah Mofarreh, Sachin Kumar Srivastava, Mayrika Dhiman, Wan Ainun Mior Othman, and Akram Ali
Hindawi Limited
The aim of this paper is to study the warped product pointwise semislant submanifolds in the para-cosymplectic manifold with the semi-Riemannian metric. For which, firstly we provide the more generalized definition of pointwise slant submanifolds and related characterization results followed by the definition of pointwise slant distributions and pointwise semislant submanifolds. We also derive some results for different foliations on distribution, and lastly, we defined pointwise semislant warped product submanifold, given existence and nonexistence results, basic lemmas, theorems, and optimal inequalities for the ambient manifold.
Fatemah Mofarreh, S. K. Srivastava, Anuj Kumar, and Akram Ali
American Institute of Mathematical Sciences (AIMS)
<abstract><p>The main purpose of this paper is to study the properties of $ \\mathcal{PR} $-semi-invariant submanifold of para-Kenmotsu manifold. We obtain the integrability conditions for the invariant distribution and anti-invariant distribution. We obtain some existence and non-existence results of $ \\mathcal{PR} $-semi-invariant warped product submanifolds. We provide some necessary and sufficient conditions for $ \\mathcal{PR} $-semi-invariant submanifold to be a $ \\mathcal{PR} $-semi-invariant warped product submanifold in para-Kenmotsu manifold. We also derive some sharp inequalities for $ \\mathcal{PR} $-semi-invariant warped product submanifold in para-Kenmotsu manifolds.</p></abstract>
K. Sood, K. Srivastava, and S. K. Srivastava
Springer Science and Business Media LLC
A. Sharma, Siraj Uddin, and S. K. Srivastava
Springer Science and Business Media LLC
Anil Sharma, , Sachin Kumar Srivastava, and
Babes-Bolyai University
S. K. Srivastava and A. Sharma
Springer Science and Business Media LLC
S. K. Srivastava and A. Sharma
Springer Science and Business Media LLC
S. K. Srivastava and A. Sharma
The aim of this paper is to study the pseudo-Riemannian warped product submanifolds of a paracosymplectic manifold . We first, prove some fundamental lemmas and then derive some important results with parallel canonical structures on -semi-invariant submanifolds of . Finally, we describe the warped product submanifold of by developing the general optimal inequality in terms of warping function and squared norm of second fundamental form. We also consider the totally geodesic, mixed geodesic and equality case of the inequality.
K. Srivastava and S. K. Srivastava
Springer Science and Business Media LLC