On Kähler manifolds with positive orthogonal bisectional curvature

X. X. Chen

doi:10.1016/j.aim.2006.11.006

On Kähler manifolds with positive orthogonal bisectional curvature

X. X. Chen

Mathematics

Research output: Contribution to journal › Article › peer-review

36 Scopus citations

Abstract

For any irreducible Kähler manifold which admits positive orthogonal bisectional curvature and C₁ > 0, if this positivity condition is preserved under the flow, then the underlying manifold is biholomorphic to C Pⁿ.

Original language	English
Pages (from-to)	427-445
Number of pages	19
Journal	Advances in Mathematics
Volume	215
Issue number	2
DOIs	https://doi.org/10.1016/j.aim.2006.11.006
State	Published - Nov 10 2007

Keywords

Kähler manifold
Kähler Ricci flow
Positive orthogonal bisectional curvature

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10.1016/j.aim.2006.11.006

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title = "On K{\"a}hler manifolds with positive orthogonal bisectional curvature",

abstract = "For any irreducible K{\"a}hler manifold which admits positive orthogonal bisectional curvature and C1 > 0, if this positivity condition is preserved under the flow, then the underlying manifold is biholomorphic to C Pn.",

keywords = "K{\"a}hler manifold, K{\"a}hler Ricci flow, Positive orthogonal bisectional curvature",

author = "Chen, \{X. X.\}",

year = "2007",

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AB - For any irreducible Kähler manifold which admits positive orthogonal bisectional curvature and C1 > 0, if this positivity condition is preserved under the flow, then the underlying manifold is biholomorphic to C Pn.

KW - Kähler manifold

KW - Kähler Ricci flow

KW - Positive orthogonal bisectional curvature

UR - https://www.scopus.com/pages/publications/34547691651

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DO - 10.1016/j.aim.2006.11.006

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VL - 215

SP - 427

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JO - Advances in Mathematics

JF - Advances in Mathematics

IS - 2

ER -

On Kähler manifolds with positive orthogonal bisectional curvature

Abstract

Keywords

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