3 citations · 6 across the 6 of their papers we have counts for
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On Kodaira dimension and scalar curvature in almost Hermitian geometry
Xianchao Zhou
In this paper, we investigate Riemannian curvature constraints on the Kodaira dimension of compact almost Hermitian manifolds. Specifically, for a compact almost Hermitian manifold…
The prescribed Gauduchon scalar curvature problem in almost Hermitian geometry
Yuxuan Li, Wubin Zhou, Xianchao Zhou
In this paper we consider the prescribed Gauduchon scalar curvature problem on almost Hermitian manifolds. By deducing the expression of the Gauduchon scalar curvature under the co…
Totally Real Flat Minimal Surfaces in Quaternionic Projective Spaces
Ling He, Xianchao Zhou
In this paper, we study totally real minimal surfaces in the quaternionic projective space . We prove that the linearly full totally real flat minimal surfaces of is…
Scalar curvatures in almost Hermitian geometry and some applications
Jixiang Fu, Xianchao Zhou
On an almost Hermitian manifold, we have two Hermitian scalar curvatures with respect to any canonical Hermitian connection defined by P. Gauduchon. Explicit formulas of these two…
Twistor geometry of Hermitian surfaces induced by canonical connections
Jixiang Fu, Xianchao Zhou
In this paper, following the constructions of N. R. O'Brian, J. H. Rawnsley and I. Vaisman, we define four almost Hermitian structures (up to conjugation) on the twistor space of a…
Twistor geometry of Riemannian 4-manifolds by moving frames
Jixiang Fu, Xianchao Zhou
In this paper, we characterize Riemannian 4-manifold in terms of its almost Hermitian twistor spaces . Some special metric conditions (including Balanced…