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Invariant submanifolds in a contact Riemannian manifold
1985Let \(\bar M\) 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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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
Criteria on the Nonexistence of Invariant Lipschitz Submanifolds for Dynamical Systems
Journal of Differential Equations, 2001Michal Fečkan
exaly
On Invariant Submanifolds of a Nearly Trans-Sasakian Manifold
Arabian Journal for Science and Engineering, 2011R Sári
exaly
Some Classes of Invariant Submanifolds of LP-Sasakian Manifolds
Turkish Journal of Analysis and Number Theory, 2020Mehmet ATÇEKEN
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