7 papers
On the gradient estimate of Cheng and Yau
Ovidiu Munteanu
We improve the well known local gradient estimate of Cheng and Yau in the case when Ricci curvature has a negative lower bound.
Smooth metric measure spaces with non-negative curvature
Ovidiu Munteanu, Jiaping Wang
We study both function theoretic and spectral properties on complete noncompact smooth metric measure space with nonnegative Bakry-Émery Ricci curvature. Among oth…
On convergence of the Kähler-Ricci flow
Ovidiu Munteanu, Gábor Székelyhidi
We study the convergence of the Kähler-Ricci flow on a Fano manifold under some stability conditions. More precisely we assume that the first eingenvalue of the -oper…
The volume growth of complete gradient shrinking Ricci solitons
Ovidiu Munteanu
We prove that any gradient shrinking Ricci soliton has at most Euclidean volume growth. This improves a recent result of H.-D. Cao and D. Zhou by removing a condition on the growth…
The Poisson equation on complete manifolds with positive spectrum and applications
Ovidiu Munteanu, Natasa Sesum
In this paper we investigate the existence of a solution to the Poisson equation on complete manifolds with positive spectrum and Ricci curvature bounded from below. We show that i…
On a characterization of the complex hyperbolic space
Ovidiu Munteanu
Consider a compact Kähler manifold with Ricci curvature lower bound Assume that its universal cover has maximal bottom of spectrum $λ_…