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math.DG2019★ 2 cited
Time analyticity for heat equation on gradient shrinking Ricci solitons
Jia-Yong Wu
On a complete non-compact gradient shrinking Ricci soliton, we prove the analyticity in time for smooth solutions of the heat equation with quadratic exponential growth in the spac…
math.DG2019★ 1 cited
Harmonic and Schrödinger functions of polynomial growth on gradient shrinking Ricci solitons
Jia-Yong Wu, Peng Wu
In this paper, we study harmonic and caloric functions of polynomial growth on a complete non-compact gradient shrinking Ricci soliton. On one hand, when the scalar curvature satis…