On the topology of warped product pointwise semi-slant submanifolds with positive curvature
In this paper, we obtain some topological characterizations for the warping function of a
warped product pointwise semi-slant submanifold of the form Ω n= NT l× f N ϕ k in a …
warped product pointwise semi-slant submanifold of the form Ω n= NT l× f N ϕ k in a …
Homology groups in warped product submanifolds in hyperbolic spaces
In this paper, we show that if the Laplacian and gradient of the warping function of a compact
warped product submanifold Ωp+ q in the hyperbolic space ℍm (− 1) satisfy various extrinsic …
warped product submanifold Ωp+ q in the hyperbolic space ℍm (− 1) satisfy various extrinsic …
Homology of warped product submanifolds in the unit sphere and its applications
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 …
function are found in consideration of warped product submanifolds structure that force to …
The weakly generalized unicorns in Finsler geometry
A Tayebi, B Najafi - Science China Mathematics, 2021 - Springer
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 …
S-curvature. In the class of regular metrics, they reduce to Berwald ones. Here, we …
Vanishing homology of warped product submanifolds in complex space forms and applications
In this paper, we prove the nonexistence of stable integral currents in compact oriented
warped product pointwise semi-slant submanifold M n of a complex space form M˜(4 ϵ) …
warped product pointwise semi-slant submanifold M n of a complex space form M˜(4 ϵ) …
[HTML][HTML] Null homology in warped product Lagrangian submanifolds of the nearly Kaehler S6 and its applications
The study follows the conjecture of Lawson and Simon (1973) and proves the main
theorems. If the warping function of a compact warped product Lagrangian submanifold Σ 3 …
theorems. If the warping function of a compact warped product Lagrangian submanifold Σ 3 …
Homology groups in CR-warped products of complex space forms
In the present paper, by using the result of Lawson-Simons [15], we adopt a different
technique to show that there are no stable integral q-currents and a non-trivial homology …
technique to show that there are no stable integral q-currents and a non-trivial homology …
The Homology of Warped Product Submanifolds of Spheres and Their Applications
The aim of the current article is to formulate sufficient conditions for the Laplacian and a
gradient of the warping function of a compact warped product submanifold Σ β 1+ β 2 in a …
gradient of the warping function of a compact warped product submanifold Σ β 1+ β 2 in a …
On generalized curvature equality and inequality for sequential warped product submanifolds
A Kumar, A Sharma - Journal of Mathematical Sciences, 2023 - Springer
The present article deals with the study of generalized curvature equality and inequality. We
first derive equality involving mean curvature vector and second fundamental form for …
first derive equality involving mean curvature vector and second fundamental form for …
Geometric inequalities of warped product submanifolds and their applications
In the present paper, we prove that if Laplacian for the warping function of complete warped
product submanifold M m= B p× h F q in a unit sphere S m+ k satisfies some extrinsic …
product submanifold M m= B p× h F q in a unit sphere S m+ k satisfies some extrinsic …