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Gradient Kähler-Ricci solitons with nonnegative orthogonal bisectional curvature (1906.00415v1)

Published 2 Jun 2019 in math.DG

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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