Heinz mean curvature estimates in warped product spaces $$M\times _{e^{\psi }}N$$M×eψN
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DOI: 10.1007/s10455-017-9577-x
Abstract: If a graph submanifold (x, f(x)) of a Riemannian warped product space $$(M^m\times _{e^{\psi }}N^n,\tilde{g}=g+ e^{2\psi }h)$$(Mm×eψNn,g~=g+e2ψh) is immersed with parallel mean curvature H, then we obtain a Heinz-type estimation of the mean curvature. Namely, on… read more here.
Keywords: warped product; psi; mean curvature; times psi ... See more keywords