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De Lellis-Topping type inequalities for f-Laplacians

100%

Huang G., Zeng F.

Studia Mathematica

2016

tom 232

nr 3

189-199

We establish an integral geometric inequality on a closed Riemannian manifold with ∞-Bakry-Émery Ricci curvature bounded from below. We also obtain similar inequalities for Riemannian manifolds with totally geodesic boundary. In particular, our results generalize those of Wu (2014) for the ∞-Bakry-Émery Ricci curvature.

Vanishing theorems for Killing vector fields on complete hypersurfaces in the hyperbolic space

100%

Huang G., Li H.

Colloquium Mathematicum

2016

tom 145

nr 1

99-105

We study vanishing theorems for Killing vector fields on complete stable hypersurfaces in a hyperbolic space $ℍ^{n+1}(-1)$. We derive vanishing theorems for Killing vector fields with bounded L²-norm in terms of the bottom of the spectrum of the Laplace operator.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Studia Mathematica

2 Huang G.

1 Li H.

1 Zeng F.

2 2016

Wyniki wyszukiwania

De Lellis-Topping type inequalities for f-Laplacians

Vanishing theorems for Killing vector fields on complete hypersurfaces in the hyperbolic space