N. Šešum

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20032005

most citedConvergence of a Kähler-Ricci flow

24 citations · 48 across the 8 of their papers we have counts for

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8 papers · 1 filter

math.DG2005★ 6 cited

The compactness result for Kähler Ricci solitons

Huai-Dong Cao, Natasa Sesum

In this paper we prove the compactness result for compact Kähler Ricci gradient shrinking solitons. If $(M_{i}, g_{i})$ is a sequence of Kähler Ricci solitons of real dimension $n \ge 4…

math.DG2005

The rate of convergence of the mean curvature flow

Tom Ilmanen, Natasa Sesum

We study the flow $M_{t}$ of a smooth, strictly convex hypersurface by its mean curvature in $R^{n + 1}$ . The surface remains smooth and convex, shrinking monotonically until…

math.DG2004

Linear and dynamical stability of Ricci flat metrics

Natasa Sesum

We can talk about two kinds of stability of the Ricci flow at Ricci flat metrics. One of them is a linear stability, defined with respect to Perelman's functional $F$ . Th…

math.DG2004★ 4 cited

Convergence of the Ricci flow toward a unique soliton

Natasa Sesum

We will consider a {\it $τ$ -flow}, given by the equation $\frac{d}{d t} g_{ij} = - 2 R_{ij} + \frac{1}{τ} g_{ij}$ on a closed manifold $M$ , for all times $t \in [0, \infty)$ . We will prove…

math.DG2004★ 24 cited

Convergence of a Kähler-Ricci flow

Natasa Sesum

In this paper we prove that for a given Kähler-Ricci flow with uniformly bounded Ricci curvatures in an arbitrary dimension, for every sequence of times $t_{i}$ converging to infinit…

math.DG2004★ 13 cited

Limiting behaviour of the Ricci flow

Natasa Sesum

We will consider a {\it $τ$ -flow}, given by the equation $\frac{d}{d t} g_{ij} = - 2 R_{ij} + \frac{1}{τ} g_{ij}$ on a closed manifold $M$ , for all times $t \in [0, \infty)$ . We will prove…