Results 71 to 80 of about 187 (169)
On Some Types of Slant Submanifolds on Poly‐Norden Riemannian Manifolds
The goal of this paper is to study some types of slant submanifolds such as bislant submanifolds and quasi‐bislant submanifolds of poly‐Norden Riemannian manifolds. We obtain integrability conditions for the involved distribution in such submanifolds. Also, we obtain nontrivial examples on these types of submanifolds.
M. Aykut Akgün, Smritijit Sen
wiley +1 more source
Characterizations of Transversal Lightlike Submanifolds in Indefinite Golden Statistical Geometry
We investigate transversal and radical transversal lightlike submanifolds (TLSs) of indefinite golden statistical manifolds (IGSMs). Using the dual affine connections associated with statistical structures, we obtain decomposition formulas and derive ...
Md Aquib
doaj +1 more source
Totally Geodesic Submanifolds and Polar Actions on Stiefel Manifolds
We classify totally geodesic submanifolds of the real Stiefel manifolds of orthogonal two-frames. We also classify polar actions on these Stiefel manifolds, specifically, we prove that the orbits of polar actions are lifts of polar actions on the corresponding Grassmannian. In the case of cohomogeneity-one actions we are able to obtain a classification
Gorodski, Claudio +2 more
openaire +3 more sources
Rigidity of Minimal Legendrian Submanifolds in Sasakian Space Forms
This paper is concerned with the study on rigidity of minimal Legendrian submanifolds in Sasakian space forms under some certain geometric conditions, motivated by the classification of minimal Legendrian submanifolds with constant sectional curvature.
Dehe Li, Sicheng Li, Antonio Masiello
wiley +1 more source
Almost complex surfaces in the nearly Kaehler S6
It is shown that a compact almost complex surface in S6 is either totally geodesic or the minimum of its Gaussian curvature is less than or equal to 1/3.
Sharief Deshmukh
doaj +1 more source
Random 3-manifolds have no totally geodesic submanifolds
Abstract Murphy and the second author showed that a generic closed Riemannian manifold has no totally geodesic submanifolds, provided the ambient space is at least four dimensional. Lytchak and Petrunin established a similar result in dimension 3. For the higher dimensional result, the “generic set” is open and dense in the
El-Hasan, Hasan M., Wilhelm, Frederick
openaire +3 more sources
Chen–Ricci Inequality for Isotropic Submanifolds in Locally Metallic Product Space Forms
In this article, we study isotropic submanifolds in locally metallic product space forms. Firstly, we establish the Chen–Ricci inequality for such submanifolds and determine the conditions under which the inequality becomes equality.
Yanlin Li +4 more
doaj +1 more source
Totally geodesic submanifolds of symmetric spaces, III
16 pages. This is an unpublished article written in 1980.
Chen, Bang-Yen +2 more
openaire +2 more sources
Pointwise hemi-slant warped product submanifolds in nearly Kaehler manifolds
In this paper, we introduce the notion of pointwise hemi-slant sub-manifolds of nearly Kaehler manifolds. Further, we study their warped products and prove the necessary and sufficient condition that a point-wise hemi-slant submanifold to be a warped ...
Alqahtani Lamia Saeed +2 more
doaj +1 more source
In this paper, we investigate contact skew CR-warped product submanifolds of locally conformal almost cosymplectic manifolds, a framework that simultaneously generalizes warped product pseudo-slant, semi-slant, and contact CR-submanifolds.
Ali H. Alkhaldi +3 more
doaj +1 more source

