scholarly journals The holomorphic sectional curvature and “convex” real hypersurfaces in Kähler manifolds

2021 ◽  
Author(s):  
Duong Ngoc Son
Keyword(s):  
Sectional Curvature ◽  
Kähler Manifolds ◽  
Real Hypersurfaces ◽  
Holomorphic Sectional Curvature ◽  
Kahler Manifolds

scholarly journals General Schwarz Lemmata and their applications

2019 ◽  
Vol 30 (13) ◽  
pp. 1940007
Author(s):  
Lei Ni
Keyword(s):  
Sectional Curvature ◽  
Kähler Manifolds ◽  
Holomorphic Sectional Curvature ◽  
Kahler Manifolds ◽  
Additional Information ◽  
Positive Formula

We prove estimates interpolating the Schwarz Lemmata of Royden–Yau and the ones recently established by the author. These more flexible estimates provide additional information on (algebraic) geometric aspects of compact Kähler manifolds with nonnegative holomorphic sectional curvature, nonnegative [Formula: see text] or positive [Formula: see text].

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