One of the most fundamental interests in submanifold theory is to establish simple
relationships between the main extrinsic invariants and the main intrinsic invariants of …

In this work, several pinched conditions on the Laplacian and gradient of the warping
function are found in consideration of warped product submanifolds structure that force to …

We classify the almost regular weakly stretch non-Randers-type (α, β)-metrics with vanishing
S-curvature. In the class of regular metrics, they reduce to Berwald ones. Here, we …

The main purpose of this paper is to highlight some striking features of the relationship
between homology groups and compact warped product submanifolds geometry with …

In the present, we first obtain Chen–Ricci inequality for C-totally real warped product
submanifolds in cosymplectic space forms. Then, we focus on characterizing spheres and …

In the present paper, we establish a Chen–Ricci inequality for a C‐totally real warped
product submanifold Mn of Sasakian space forms M 21 m+ ε. As Chen–Ricci inequality …

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 …

In this paper, we prove that a simply connected Lagrangian submanifold in the generalized
complex space form is diffeomorphic to standard sphere 𝕊 n and the normalized Ricci flow …

In the present paper, we extend the study of (Ali et al. in J. Inequal. Appl. 2020: 241,) by
using differential equations (García-Río et al. in J. Differ. Equ. 194 (2): 287–299,; Pigola et al …

In this paper, we give an estimate of the first eigenvalue of the Laplace operator on a
Lagrangian submanifold Mn minimally immersed in a complex space form. We provide …