Results 161 to 170 of about 544 (183)

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 ...
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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
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ANTI-INVARIANT SUBMANIFOLDS

Bulletin of the London Mathematical Society, 1979
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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.
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A Riemannian Invariant and its Applications to Submanifold Theory

Resultate Der Mathematik, 2013
Bang-Yen Chen, Chen Bang-Yen
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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 \(\phi^ 2=-I+\eta \otimes \xi\), \(\eta (X)=g(\xi,X)\), \
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Invariant submanifold for series arrays of Josephson junctions

Chaos, 2009
Steven H Strogatz, Strogatz Steven H
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Variational characterizations of invariant submanifolds in Sasaki manifolds

Journal of Mathematical Analysis and Applications, 2023
exaly  

On the existence of invariant sets inside a submanifold convex to a flow

Journal of Differential Equations, 1970
Robert W Easton
exaly  

Projective invariants of submanifolds

2004
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