Liouville-type theorems for some classes of Riemannian almost product manifolds and for special mappings of Riemannian manifolds
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DOI: 10.1016/j.difgeo.2017.03.006
Abstract: Abstract In the present paper we prove Liouville-type theorems: non-existence theorems for some complete Riemannian almost product manifolds and special mappings of complete Riemannian manifolds which generalize similar results for compact manifolds. read more here.
Keywords: product manifolds; liouville type; almost product; riemannian almost ... See more keywords
Conharmonically flat and conharmonically symmetric warped product manifolds
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DOI: 10.1063/5.0197961
Abstract: This article presents characterizations of warped product manifolds based on the flatness and symmetry of the conharmonic curvature tensor. It is proved that when a warped product manifold is conharmonically flat, both the base and… read more here.
Keywords: conharmonically flat; conharmonically symmetric; product manifolds; warped product ... See more keywords