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handle: 20.500.12491/7348
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.
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
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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