Results 41 to 50 of about 42,809 (195)
Rigidity of integral coisotropic submanifolds of contact manifolds
Unlike Legendrian submanifolds, the deformation problem of coisotropic submanifolds can be obstructed. Starting from this observation, we single out in the contact setting the special class of integral coisotropic submanifolds as the direct ...
Tortorella, Alfonso Giuseppe
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A Study of Doubly Warped Product Immersions in a Nearly Trans-Sasakian Manifold with Slant Factor
In this article, we discuss the de Rham cohomology class for bislant submanifolds in nearly trans-Sasakian manifolds. Moreover, we give a classification of warped product bislant submanifolds in nearly trans-Sasakian manifolds with some nontrivial ...
Ali H. Alkhaldi +3 more
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Some Pinching Results for Bi-Slant Submanifolds in S-Space Forms
The objective of the present article is to prove two geometric inequalities for submanifolds in S-space forms. First, we establish inequalities for the generalized normalized δ-Casorati curvatures for bi-slant submanifolds in S-space forms and then we ...
Mohd Aquib +3 more
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Doubly autoparallel structure on the probability simplex
On the probability simplex, we can consider the standard information geometric structure with the e- and m-affine connections mutually dual with respect to the Fisher metric. The geometry naturally defines submanifolds simultaneously autoparallel for the
A Ohara +5 more
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Bi-slant submanifolds of an S manifold [PDF]
Purpose – Bi-slant submanifolds of S-manifolds are introduced, and some examples of these submanifolds are presented. Design/methodology/approach – Some properties of Di-geodesic and Di-umbilical bi-slant submanifolds are examined.
Aykut Akgün, Mehmet Gülbahar
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Graded lagrangian submanifolds [PDF]
LaTex2e, 32 pages, one eps ...
openaire +3 more sources
In this article, we study the Ricci soliton on quaternion bi-slant submanifolds of quaternion Kaehler manifolds. We obtain a lower-bound-type inequality in terms of expanding gradient Ricci solitons with a gradient-type vector field for the quaternion bi-
Ali H. Hakami, Mohd Danish Siddiqi
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Submanifolds of Euclidean space with parallel mean curvature vector
The object of the paper is to study some compact submanifolds in the Euclidean space Rn whose mean curvature vector is parallel in the normal bundle.
Tahsin Ghazal, Sharief Deshmukh
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On invariant submanifolds of trans-Sasakian manifolds; pp. 29–37 [PDF]
The object of the present paper is to find necessary and sufficient conditions for invariant submanifolds of trans-Sasakian manifolds to be totally geodesic.
Avijit Sarkar, Matilal Sen
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Variational formulas of higher order mean curvatures
In this paper, we establish the first variational formula and its Euler-Lagrange equation for the total $2p$-th mean curvature functional $\mathcal {M}_{2p}$ of a submanifold $M^n$ in a general Riemannian manifold $N^{n+m}$ for $p=0,1,...,[\frac{n}{2}]$.
A. M. Li +19 more
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