30 citations · 112 across the 21 of their papers we have counts for
4 papers · 1 filter
Local gradient estimates of p-harmonic functions, 1/H-flow, and an entropy formula
Brett Kotschwar, Lei Ni
In the first part of this paper, we prove local interior and boundary gradient estimates for p-harmonic functions on general Riemannian manifolds. With these estimates, following t…
On 4-dimensional gradient shrinking solitons
Lei Ni, Nolan Wallach
In this paper we classify the four dimensional gradient shrinking solitons under certain curvature conditions satisfied by all solitons arising from finite time singularities of Ri…
On a classification of the gradient shrinking solitons
Lei Ni, Nolan Wallach
The main purpose of this article is to provide an alternate proof to a result of Perelman on gradient shrinking solitons. In dimension three we also generalize the result by removi…
Positive Complex Sectional Curvature, Ricci Flow and the Differential Sphere Theorem
Lei Ni, Jon Wolfson
The paper provides a different proof of the result of Brendle-Schoen on the differential sphere theorem. It is shown directly that the invariant cone of curvature operators with po…