Physical Sciences and Mathematics Commons^™

P-38 On The Riemannian Submersion Invariant, Yun Myung Oh

Celebration of Research and Creative Scholarship

For a Riemannian submersion pi:Mⁿ->B^bwith 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 M^m. 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.