Results 191 to 200 of about 276,630 (212)

Invariants of submanifolds in Euclidean space

1997
The topology of the set of singular support hyperplanes and hyperspheres to a smooth submanifold in Euclidean space is studied. As a corollary, some relations between differential-geometric characteristics of a manifold are obtained. In particular, if a simple closed embedded generic curve in a plane has C global vertices (where the curvature circles ...
openaire   +1 more source

On invariant submanifolds of \(S\)-manifolds

2019
Summary: We consider invariant, pseudo-parallel and Ricci generalized pseudo-parallel submanifolds of \(\mathcal{S} \)-manifolds. We show that the submanifolds are totally geodesic under certain conditions. Also we study an invariant submanifold of \(\mathcal{S} \)-manifold satisfying \(Q(\sigma,R)=0\) and \(Q(S,\sigma)=0\), where \(S, R\) and \(\sigma\
Mahi, Fatiha, Belkhelfa, Mohamed
openaire   +1 more source

Characterizations for an invariant submanifold of an almost α-cosymplectic (κ,μ,ν)-space to be totally geodesic

Filomat, 2022
Mehmet ATÇEKEN
exaly  

A New Algebraic Inequality and Some Applications in Submanifold Theory

Mathematics, 2021
Ion Mihai
exaly  

ANTI-INVARIANT SUBMANIFOLDS

Bulletin of the London Mathematical Society, 1979
openaire   +1 more source

A Riemannian Invariant and its Applications to Submanifold Theory

Results in Mathematics, 2013
Chen Bang-yen
exaly  

Invariant submanifolds in a contact Riemannian manifold

1985
Let \(\bar M\) be a contact Riemannian manifold with structure tensors (\(\phi\),\(\xi\),\(\eta\),g), i.e. \(\eta\) is a contact form, meaning that \(\eta \Lambda (d\eta)^ n\neq 0\), \(\xi\) its characteristic vector field, g a Riemannian metric and \(\phi\) a tensor field of type (1,1) such that \(\phi^ 2=-I+\eta \otimes \xi\), \(\eta (X)=g(\xi,X)\), \
openaire   +2 more sources

ON INVARIANT SUBMANIFOLDS OF ALMOST ?-KENMOTSU MANIFOLDS

The purpose of this paper is to study invariant submanifolds of almost alpha-Kenmotsu manifolds. In particular, we prove that these kinds of submanifolds are totally geodesic under a certain condition. Finally, an example of threedimensional almost alpha-Kenmotsu manifold is given.
openaire   +2 more sources

On invariant submanifolds of ()-manifolds

Journal of the Egyptian Mathematical Society, 2016
Shyamal Kumar Hui, Absos Ali Shaikh
exaly  

Variational characterizations of invariant submanifolds in Sasaki manifolds

Journal of Mathematical Analysis and Applications, 2023
exaly