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| Hessian Comparison and Spectrum Lower Bound of Almost Hermitian Manifolds |
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Citation： |
Chengjie YU.Hessian Comparison and Spectrum Lower Bound of Almost Hermitian Manifolds[J].Chinese Annals of Mathematics B,2018,39(4):755~772 |
| Page view： 742
Net amount： 595 |
Authors： |
Chengjie YU; |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (No.11571215), the Natural Science Foundation
of Guangdong Province (No.S2012010010038) and a Supporting Project
from the Department of Education of Guangdong Province
(No.Yq2013073). |
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| Abstract： |
The authors obtain a complex Hessian comparison for almost Hermitian
manifolds, which generalizes the Laplacian comparison for almost
Hermitian manifolds by Tossati, and a sharp spectrum lower bound for
compact quasi K\"ahler manifolds and a sharp complex Hessian
comparison on nearly K\"ahler manifolds that generalize previous
results of Aubin, Li Wang and Tam-Yu. |
Keywords： |
Almost-Hermitian manifolds, Quasi K"ahler manifolds, NearlyK"ahler manifolds |
Classification： |
53B35, 53C15 |
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