Results 141 to 150 of about 769 (170)

Some Optimal Inequalities for Anti-invariant Submanifolds of the Unit Sphere

Journal of Geometric Analysis, 2023
The paper deals with anti-invariant submanifolds of the unit sphere of dimension \((2n+1)\) equipped with the canonical Sasakian structure. As the main result, the authors establish a basic inequality for such submanifolds involving the norm of the covariant differentiation of both the second fundamental form and the mean curvature vector field ...
Cheng Xing, Jiabin Yin
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Anti-invariant submanifolds of locally decomposable golden Riemannian manifolds [PDF]

, 2020
Summary: In this paper, we give some properties of anti-invariant submanifolds of a golden Riemannian manifold. We obtain some necessary conditions for any submanifold in a locally decomposable golden Riemannian manifold to be anti-invariant. In these conditions, we also show that the submanifold is totally geodesic.
Gök, M., Kiliç, E., Keleş, S.
openaire   +3 more sources

Invariant submanifold flows [PDF]

Journal of Physics A: Mathematical and Theoretical, 2008
. Given a Lie group acting on a manifold, our aim is to analyze the evolution of differential invariants under invariant submanifold flows. The constructions are based on the equivariant method of moving frames and the induced invariant variational ...
Peter J Olver
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Characterizations of PR-Pseudo-Slant Warped Product Submanifold of Para-Kenmotsu Manifold with Slant Base [PDF]

Symmetry, 2022
In this article, we study the properties of PR-pseudo-slant submanifold of para-Kenmotsu manifold and obtain the integrability conditions for the slant distribution and anti-invariant distribution of such submanifold.
S K Srivastava, Fatemah Mofarreh, Akram Ali   +2 more
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The spectrum of an invariant submanifold [PDF]

Journal of Differential Equations, 1980
This paper is concerned with vector fields on smooth compact manifolds. The exponential growth of solutions of the linearized equations is described by the already well-known Spectral Theorem applied to the induced linear flow on the tangent bundle.
Robert J Sacker, George R Sell
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Some Characterizations of Semi-Invariant Submanifolds of Golden Riemannian Manifolds [PDF]

Mathematics, 2019
In this paper, we study some characterizations for any submanifold of a golden Riemannian manifold to be semi-invariant in terms of canonical structures on the submanifold, induced by the golden structure of the ambient manifold.
Mustafa Gok, , Erol Kilic
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Some characterizations of anti-invariant submanifolds of trans-sasakian manifolds

Asian-European Journal of Mathematics, 2021
The object of this paper is to study anti-invariant submanifolds of trans-Sasakian manifolds. We characterize such submanifolds on the basis of parallelism, semi-parallelism and pseudo parallelism of the second fundamental form of the submanifolds. We also characterize totally umbilical anti-invariant submanifolds of trans-Sasakian manifolds. Existence
A. Sarkar, Pradip Bhakta, Matilal Sen
openaire   +1 more source

Invariant pseudoparallel submanifold of an SQ-Sasakian manifolds [PDF]

Journal of Applied Analysis
The aim of the present paper is to study invariant pseudoparallel submanifolds in an SQ-Sasakian manifold with respect to semisymmetric metric connection.
Pakize Uygun, Tugba Mert, Mehmet Atc̣Eken   +2 more
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On invariant submanifolds of ( LCS ) n -manifolds [PDF]

Journal of the Egyptian Mathematical Society, 2016
The object of the present paper is to study the invariant submanifolds of (LCS)n-manifolds. We study semiparallel and 2-semiparallel invariant submanifolds of (LCS)n-manifolds.
Absos Ali Shaikh, Yoshio Matsuyama, Shyamal Kumar Hui   +2 more
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On anti-invariant submanifolds in Sasakian manifolds with vanishing contact Bochner curvature tensor

Publicationes Mathematicae Debrecen, 2022
Using scalar curvature estimates the author derives sufficient conditions for minimal anti-invariant submanifolds of Sasakian manifolds with vanishing contact Bochner curvature tensor to be totally geodesic.
openaire   +2 more sources