scholarly journals Spectral geometry and the Kaehler condition for Hermitian manifolds with boundary

2003 ◽  
pp. 121-128 ◽  
Author(s):  
JeongHyeong Park
Keyword(s):  
Spectral Geometry ◽  
Manifolds With Boundary ◽  
Hermitian Manifolds

Gradient estimates for Monge–Ampère type equations on compact almost Hermitian manifolds with boundary

Analysis ◽  
2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Masaya Kawamura
Keyword(s):  
Nonlinear Equations ◽  
Smooth Solution ◽  
A Priori ◽  
Gradient Estimates ◽  
Manifolds With Boundary ◽  
Fully Nonlinear Equations ◽  
Fully Nonlinear ◽  
Hermitian Manifolds ◽  
Almost Hermitian Manifolds ◽  
Monge Ampere

Abstract We investigate Monge–Ampère type fully nonlinear equations on compact almost Hermitian manifolds with boundary and show a priori gradient estimates for a smooth solution of these equations.

Vector Fields and Infinitesimal Transformations on Almost-Hermitian Manifolds with Boundary

1965 ◽  
Vol 17 ◽  
pp. 213-238
Author(s):  
Arthur L. Hilt ◽  
Chuan-Chih Hsiung
Keyword(s):  
Riemannian Manifolds ◽  
Vector Fields ◽  
Manifolds With Boundary ◽  
Hermitian Manifolds ◽  
Almost Hermitian Manifolds ◽  
Infinitesimal Transformations

Many authors have made interesting and important contributions to the study of vector fields or infinitesimal transformations on compact orientable Riemannian manifolds and Hermitian manifolds without boundary. Recently, Hsiung (6, 7, 8) has extended some of these results to compact orientable Riemannian manifolds with boundary. The purpose of this paper is to continue Hsiung's work by studying vector fields and infinitesimal transformations on almost-Hermitian manifolds with boundary.

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