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arXiv · 1906.00415

Gradient K\"ahler-Ricci solitons with nonnegative orthogonal bisectional curvature

Shijin Zhang
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Abstract

In this paper, we prove that any complete shrinking gradient K\"ahler-Ricci solitons with positive orthogonal bisectional curvature must be compact. We also obtain a classification of the complete shrinking gradient K\"ahler-Ricci solitons with nonnegative orthogonal bisectional curvature.

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Shijin Zhang. 2019-06-02. Gradient K\"ahler-Ricci solitons with nonnegative orthogonal bisectional curvature. https://doi.org/10.1007/s00025-019-1052-5

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