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On Curvature Pinching for Submanifolds with Parallel Normalized Mean Curvature Vector

Mathematics
In this note, we investigate the pinching problem for oriented compact submanifolds of dimension n with parallel normalized mean curvature vector in a space form Fn+p(c).
Juanru Gu, Yao Lu
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Ricci solitons in a generalized weakly (Ricci) symmetric D-homothetically deformed Kenmotsu manifold

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019
The object of the present paper is to investigate the nature of Ricci solitons on D-homothetically deformed Kenmotsu manifold with generalized weakly symmetric and generalized weakly Ricci symmetric curvature restrictions.
Adara M. Blaga, Kanak Kanti Baishya, Nihar Sarkar   +2 more
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Semilinear parabolic problems on manifolds and applications to the non-compact Yamabe problem

Electronic Journal of Differential Equations, 2000
We show that the well-known non-compact Yamabe equation (of prescribing constant positive scalar curvature) on a manifold with non-negative Ricci curvature and positive scalar curvature behaving like $c/d(x)^2$ near infinity can not be solved if the ...
Qi S. Zhang
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