Pradip Mandal

• PhD (Mathematics)
• Assistant Professor at Haldia Institute of Technology

The present paper deals with the study of pseudo parallel (in the sense of Chaki and in the sense of Deszcz) contact CR-submanifolds with respect to Levi-Civita connection as well as semisymmetric metric connection of Kenmotsu manifolds and prove that these corresponding two classes are equivalent with a certain condition.

In this paper, we have studied submanifolds especially, totally umbilical submanifolds of generalized \((k,\mu )\)-space-forms. We have found a necessary and sufficient condition for such submanifolds to be either invariant or anti-invariant. It is also shown that every totally umbilical submanifold of a generalized \((k,\mu )\)-space-form is a pse...

ThesubmanifoldsofSasakianmanifoldswithaconcurrentvectorfieldhavebeen studied. Applications of such submanifolds to Ricci solitons and Yamabe solitons has also been showed.

The objective of this paper is to achieve the inequality for Ricci curvature of a semi-slant warped product submanifold isometrically immersed in a generalized complex space form admitting a nearly Kaehler structure in the expressions of the squared norm of mean curvature vector and warping function. In addition, the equality case is likewise discu...

The present paper deals with the study of invariant submanifolds of generalized Sasakian-space-forms with respect to Levi-Civita connection as well as semi-symmetric metric connection. We provide some examples of such submanifolds and obtain many new results including, the necessary and sufficient conditions under which the submanifolds are totally...

The main idea of this article is to study the generalized Wintgen ideal Legendrian submanifolds of generalized Sasakian-space-forms. Also, we characterize generalized Wintgen ideal Legen-drian submanifolds based on pseudo parallel and Ricci generalized pseudo parallel concerning Levi-Civita connection as well as the Schouten-Van Kampen and generali...

In this paper we discussed CR-submanifold of SQ-Sasakian manifold. Next, we considered Chaki pseudo parallel as well as Deszcz pseudo parallel CR-submanifold of SQ-Sasakian manifold. Further we studied almost Ricci soliton and almost Yamabe soliton with torse forming vector field on CR-subamnifold of SQ-Sasakian manifold using semi-symmetric metric...

The major goal of this work is to express the Ricci curvature inequality for biwarped product submanifold of the type [Formula: see text] isometrically immersed in a Kenmotsu space form via terms of the squared norm of mean curvature vector and warping functions, where [Formula: see text], [Formula: see text] and [Formula: see text] are the slant s...

In this paper, invariant and anti-invariant submanifolds of cosymplectic statistical- space-forms are considered. Among others, a generalized Wintgen inequality on Legendrian submanifolds of such space forms is obtained.

The paper deals with the study of Ricci curvature on warped product pointwise bi-slant submanifolds of Sasakian-space-form. We obtained some inequalities for such submanifold involving intrinsic invariant, namely the Ricci curvature invariant and extrinsic invariant, namely the squared mean curvature invariant. Some relations of Hamiltonian, Lagran...

Here we have studied f -biharmonic and bi- f -harmonic submanifolds of generalized ( k, µ )-space-forms and obtained a necessary and sufficient condition on a submanifold of generalized ( k, µ )-space-form to be f-biharmonic and bi-f-harmonic submanifold. We have also studied f- biharmonic hypersurfaces of said ambient space forms.

The paper deals with the study of Casorati curvature of submanifolds of generalized (k,μ)-space-form with respect to Levi-Civita connection as well as semisymmetric metric connection and derived two optimal inequalities between scalar curvature and Casorati curvature of such space forms. The equality cases are also considered.

The present paper deals with some results of almsot semi-invariant submanifolds of generalized Sasakian-space-forms in \cite{ALEGRE3} with respect to semisymmetric metric connection, semisymmetric non-metric connection, Schouten-van Kampen connection and Tanaka-Webster connection.

The present paper deals with some results of submanifolds of generalized Sasakian-space-forms in \cite{ALEGRE3} with respect to semisymmetric metric connection, semisymmetric non-metric connection, Schouten-van Kampen connection and Tanaka-webster connection.

The present paper deals with the study of Deszcz-pseudo parallel and Chaki-pseudo parallel contact CR-submanifolds of Ken-motsu manifolds with respect to Levi-Civita connection as well as semisymmetric metric connection and prove that corresponding these two classes are equivalent with a certain condition.

The present paper deals with the study of invariant submanifolds of generalized Sasakian-space-forms with respect to Levi-Civita connection as well as semi-symmetric metric connection. We provide some examples of such submanifolds and obtain many new results including, the necessary and sufficient conditions under which the submanifolds are totally...

The present paper deals with a study of contact CR-warped product submanifolds of generalized Sasakian-space-forms and contact CR-warped product semi-slant submanifolds of generalized Sasakian-space-forms. It is shown that there exists no proper contact CR-warped product submanifolds of generalized Sasakian-space-forms. However, we obtain some resu...

The present paper deals with the study of Ricci solitons on submanifolds, specially invariant and anti-invariant submanifolds of Kenmotsu manifolds with respect to Riemannian connection, quarter symmetric metric connection and quarter symmetric non-metric ϕ-connection, respectively.