Presenter Status

Associate Professor of Mathematics, Department of Mathematics

Preferred Session

Poster Session

Start Date

30-10-2015 2:00 PM

End Date

30-10-2015 3:00 PM

Presentation Abstract

For a Riemannian submersion pi:Mn->Bbwith totally geodesic fibers, the submersion invariant (see attached abstract for equation) was introduced using the integrability tensor of the submersion. B. Y. Chen has provided the inequality on this invariant if the manifold M admits an isometric immersion into a Riemannian manifold Mm. Some of the recent results on this invariant are included with examples. This is a continuation of the work published in 2013.

See attached abstract for full equations.

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Oct 30th, 2:00 PM Oct 30th, 3:00 PM

P-38 On the Riemannian submersion invariant

For a Riemannian submersion pi:Mn->Bbwith totally geodesic fibers, the submersion invariant (see attached abstract for equation) was introduced using the integrability tensor of the submersion. B. Y. Chen has provided the inequality on this invariant if the manifold M admits an isometric immersion into a Riemannian manifold Mm. Some of the recent results on this invariant are included with examples. This is a continuation of the work published in 2013.

See attached abstract for full equations.