Totally umbilical hypersurfaces of product spaces
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DOI: 10.1007/s00229-021-01339-x
Abstract: Given a Riemannian manifold M, and an open interval I ⊂ R, we characterize nontrivial totally umbilical hypersurfaces of the product M×I — as well as of warped products I ×ω M — as those… read more here.
Keywords: totally umbilical; umbilical hypersurfaces; product spaces; hypersurfaces product ... See more keywords
Anti-invariant Riemannian submersions from Sasakian manifolds with totally umbilical fibers
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DOI: 10.1142/s0219887821501693
Abstract: The purpose of this paper is to study anti-invariant Riemannian submersions from Sasakian manifolds onto Riemannian manifolds such that characteristic vector field is vertical or horizontal vector field. We first show that any anti-invariant Riemannian… read more here.
Keywords: sasakian manifolds; anti invariant; totally umbilical; invariant riemannian ... See more keywords