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A Classification of a Totally Umbilical SlantSubmanifold of Cosymplectic Manifolds

تصنيف مشعب فرعي مائل للسرة بالكامل من المشعبات الانضغاطية
Authors: Siraj Uddin; Cenap Özel; Vakeel A. Khan;

A Classification of a Totally Umbilical SlantSubmanifold of Cosymplectic Manifolds

Abstract

We study slant submanifolds of a cosymplectic manifold. It is shown that a totally umbilical slant submanifold M of a cosymplectic manifold is either an anti‐invariant submanifold or a 1−dimensional submanifold. We show that every totally umbilical proper slant submanifold of a cosymplectic manifold is totally geodesic.

Country
Turkey
Keywords

Matrix (chemical analysis), FOS: Mechanical engineering, Symplectic manifolds (general theory), Hyperbolic Manifolds, cosymplectic manifold, Mathematical analysis, Engineering, QA1-939, FOS: Mathematics, Contact manifolds (general theory), umbilical slant submanifold, Local submanifolds, Chromatography, Manifold (fluid mechanics), Applied Mathematics, Symplectic Topology and Knot Invariants, Optimal Transport in Geometry and Analysis, Invariant (physics), Symplectic Topology, Mechanical engineering, Submanifold, Chemistry, Combinatorics, Mathematical physics, Physical Sciences, Geometry and Topology, Geometry and Stability of Kähler Metrics, Mathematics

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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