Kähler surfaces with six-positive curvature operator of the second kind
Li, Xiaolong
Li, Xiaolong
Citations
Altmetric:
Authors
Other Names
Location
Time Period
Advisors
Original Date
Digitization Date
Issue Date
2023-07
Type
Article
Genre
Keywords
Kähler surfaces,Orthogonal bisectional curvature,The curvature operator of the second kind
Subjects (LCSH)
Citation
Li, X. (2023). Kähler surfaces with six-positive curvature operator of the second kind. Proceedings of the American Mathematical Society, 151(11). https://doi.org/10.1090/proc/16363
Abstract
The purpose of this article is to initiate the investigation of the curvature operator of the second kind on Kähler manifolds. The main result asserts that a closed Kähler surface with six-positive curvature operator of the second kind is biholomorphic to $CP^{2}$. It is also shown that a closed non-flat Kähler surface with six-nonnegative curvature operator of the second kind is either biholomorphic to $CP^{2}$ or isometric to $S^{2}$ x $S^{2}$.
Table of Contents
Description
Click on the DOI link to access this article (may not be free).
Publisher
American Mathematical Society
Journal
Book Title
Series
Proceedings of the American Mathematical Society
v.151 no.11
v.151 no.11
Digital Collection
Finding Aid URL
Use and Reproduction
Archival Collection
PubMed ID
DOI
ISSN
1088-6826 (online)
0002-9939 (print)
0002-9939 (print)