Totally Umbilical Proper Slant and Hemislant Submanifolds of an LP‐Cosymplectic Manifold
Copyright policy )Totally Umbilical Proper Slant and Hemislant Submanifolds of an LP‐Cosymplectic Manifold
In the present note, we study slant and hemislant submanifolds of an LP‐cosymplectic manifold which are totally umbilical. We prove that every totally umbilical proper slant submanifold M of an LP‐cosymplectic manifold is either totally geodesic or if M is not totally geodesic in then we derive a formula for slant angle of M. Also, we obtain the integrability conditions of the distributions of a hemi‐slant submanifold, and then we give a result on its classification.
- University of Malaya Malaysia
- Universities UK United Kingdom
- Thapar University India
- University of Tabuk Saudi Arabia
Local submanifolds, hemi-slant submanifolds, General geometric structures on manifolds (almost complex, almost product structures, etc.), Symplectic manifolds (general theory)
Local submanifolds, hemi-slant submanifolds, General geometric structures on manifolds (almost complex, almost product structures, etc.), Symplectic manifolds (general theory)
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