Artem Pulemotov

activity

20062026

most citedGradient estimates for the heat equation under the Ricci flow

126 citations · 174 across the 19 of their papers we have counts for

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3 papers · 1 filter

math.AP2014

The Ricci Flow on Domains in Cohomogeneity One Manifolds

Artem Pulemotov

Suppose $G$ is a compact Lie group, $H$ is a closed subgroup of $G$ , and the homogeneous space $G / H$ is connected. The paper investigates the Ricci flow on a manifold $M$ diffeomor…

math.AP2013★ 1 cited

The Dirichlet Problem for the Prescribed Ricci Curvature Equation on Cohomogeneity One Manifolds

Artem Pulemotov

Let $M$ be a domain enclosed between two principal orbits on a cohomogeneity one manifold $M_{1}$ . Suppose $T$ and $R$ are symmetric invariant (0,2)-tensor fields on $M$ and $\partia…

math.AP2010

Quasilinear Parabolic Equations and the Ricci Flow on Manifolds with Boundary

Artem Pulemotov

The first part of the paper discusses a second-order quasilinear parabolic equation in a vector bundle over a compact manifold $M$ with boundary $\partial M$ . We establish a short-…