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Matrix Li-Yau-Hamilton estimates for the heat equation on Kähler manifolds

✍ Scribed by Huai-Dong Cao; Lei Ni


Publisher
Springer
Year
2004
Tongue
English
Weight
163 KB
Volume
331
Category
Article
ISSN
0025-5831

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Sharp differential estimates of Li-Yau-H
✍ Lei Ni; Yanyan Niu 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 405 KB

## Abstract In this paper we study the heat equation (of Hodge Laplacian) deformation of (__p, p__)‐forms on a Kähler manifold. After identifying the condition and establishing that the positivity of a (__p, p__)‐form solution is preserved under such an invariant condition, we prove the sharp diffe