Riemannian Submersions and Lagrangian Isometric Immerson 1Faculty Publications
AbstractIn , it has shown that if a Riemannian manifold admits a non- trivial Riemannian submersion with total geodesic fibers, then it cannot be isometrically immersed in any Riemannian manifold of non-positive sectional curvature as a minimal submanifold. In this paper, we consider a nontrivial Riemannian submersion and investigate some properties on Lagrangian iso- metric immersions using the submersion invariant.
Citation InformationYun Myung Oh. "Riemannian Submersions and Lagrangian Isometric Immerson 1" (2013)
Available at: http://works.bepress.com/yun_myungoh/2/