Some geometric inequalities for varifolds on Riemannian manifolds based on monotonicity identities
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DOI: 10.1007/s10455-021-09822-0
Abstract: Using Rauch’s comparison theorem, we prove several monotonicity inequalities for Riemannian submanifolds. Our main result is a general Li–Yau inequality which is applicable in any Riemannian manifold whose sectional curvature is bounded above (possibly positive).… read more here.
Keywords: geometric inequalities; monotonicity; inequalities varifolds; riemannian manifolds ... See more keywords