Constrained matrix Li-Yau-Hamilton estimates on K\"ahler manifolds

Constrained matrix Li-Yau-Hamilton estimates on K\"ahler manifolds

We derive an interpolation version of constrained matrix Li-Yau-Hamilton estimate on K\"ahler manifolds. As a result, we first get a constrained matrix Li-Yau-Hamilton estimate for heat equation on a K\"ahler manifold with fixed K\"ahler metric. Secondly, we get a corresponding estima...

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Hauptverfasser: Ren, Xin-An, Yao, Sha, Shen, Li-Ju, Zhang, Guang-Ying
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Complex Variables
Mathematics - Differential Geometry
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Zusammenfassung:We derive an interpolation version of constrained matrix Li-Yau-Hamilton estimate on K\"ahler manifolds. As a result, we first get a constrained matrix Li-Yau-Hamilton estimate for heat equation on a K\"ahler manifold with fixed K\"ahler metric. Secondly, we get a corresponding estimate for forward conjugate heat equation on K\"ahler manifolds with time dependent K\"ahler metrics evolving by K\"ahler-Ricci flow.
DOI:10.48550/arxiv.1407.0099