GENERAL SCHWARZ LEMMAS BETWEEN PSEUDO-HERMITIAN MANIFOLDS AND HERMITIAN MANIFOLDS

Yibin Ren; Kai Tang

doi:10.11948/20200387

2021 Volume 11 Issue 3

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Yibin Ren, Kai Tang. GENERAL SCHWARZ LEMMAS BETWEEN PSEUDO-HERMITIAN MANIFOLDS AND HERMITIAN MANIFOLDS[J]. Journal of Applied Analysis & Computation, 2021, 11(3): 1640-1651. doi: 10.11948/20200387

Citation:

Yibin Ren, Kai Tang. GENERAL SCHWARZ LEMMAS BETWEEN PSEUDO-HERMITIAN MANIFOLDS AND HERMITIAN MANIFOLDS[J]. Journal of Applied Analysis & Computation, 2021, 11(3): 1640-1651. doi: 10.11948/20200387

GENERAL SCHWARZ LEMMAS BETWEEN PSEUDO-HERMITIAN MANIFOLDS AND HERMITIAN MANIFOLDS

Yibin Ren¹,
Kai Tang^1, ,

1.
College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua, 321004, Zhejiang, China

Corresponding author: Email: kaitang001@zjnu.edu.cn(K. Tang)
Fund Project: The authors were supported by National Natural Science Foundation of China (Nos. 11801517, 12001490)

Abstract

Abstract

From the viewpoint of differential geometry, Schwarz lemmas of distance-decreasing type and volume-decreasing type can be obtained by the estimates of sum functions and product functions of all eigenvalues of holomorphic maps. This paper investigates general Schwarz lemmas by estimating partial sum functions and partial product functions of the eigenvalues of generalized holomorphic maps between pseudo-Hermitian manifolds and Hermitian manifolds.
- General Schwarz lemmas /
- pseudo-Hermitian manifolds /
- Hermitian manifolds /
- CR maps /
- transversally holomorphic maps
MSC: 53C25, 32V20

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