Regularity of mappings into classical domains

M Xiao - Mathematische Annalen, 2020 - Springer
We study the regularity and algebraicity for mappings into classical domains. Among other
things, we establish everywhere regularity and algebraicity results for C^ 2 C 2 CR maps …

Rigidity properties of holomorphic isometries into homogeneous Kähler manifolds

A Loi, R Mossa - Proceedings of the American Mathematical Society, 2024 - ams.org
We prove two rigidity results on holomorphic isometries into homogeneous Kähler
manifolds. The first shows that a Kähler-Ricci soliton induced by the homogeneous metric of …

Volume-preserving mappings between Hermitian symmetric spaces of compact type

H Fang, X Huang, M Xiao - Advances in mathematics, 2020 - Elsevier
Volume-preserving mappings between Hermitian symmetric spaces of compact type -
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Holomorphic isometries from the unit ball into symmetric domains

H Upmeier, K Wang, G Zhang - … Mathematics Research Notices, 2019 - academic.oup.com
We construct rational isometric holomorphic embeddings of the unit ball into higher rank
symmetric domains, first discovered by Mok, in an explicit way using Jordan triple systems …

Local holomorphic isometric maps from the complex unit ball into a product of complex unit balls: negative conformal constants

X Cheng, Y Hao, Y Yuan, X Zhang - Mathematische Annalen, 2025 - Springer
We obtain the rigidity for local holomorphic isometric maps from B n , n ≥ 2 \documentclass[12pt]{minimal}
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Holomorphic isometric maps from the complex unit ball to reducible bounded symmetric domains

M Xiao - Journal für die reine und angewandte Mathematik …, 2022 - degruyter.com
The first part of the paper studies the boundary behavior of holomorphic isometric mappings
F=(F 1,…, F m) from the complex unit ball 𝔹 n, n≥ 2, to a bounded symmetric domain Ω= Ω …

Local orthogonal maps and rigidity of holomorphic mappings between real hyperquadrics

Y Gao, SC Ng - Journal de Mathématiques Pures et Appliquées, 2023 - Elsevier
We propose a coordinate-free approach to study the holomorphic maps between the real
hyperquadrics in complex projective spaces. It is based on a notion of orthogonality on the …

Boundary characterization of holomorphic isometric embeddings between indefinite hyperbolic spaces

X Huang, J Lu, X Tang, M Xiao - Advances in Mathematics, 2020 - Elsevier
Boundary characterization of holomorphic isometric embeddings between indefinite hyperbolic
spaces - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …

CR immersions and sub-Riemannian geometry

E Barletta, S Dragomir, F Esposito - Axioms, 2023 - mdpi.com
On any strictly pseudoconvex CR manifold M, of CR dimension n, equipped with a positively
oriented contact form θ, we consider natural ϵ-contractions, ie, contractions g ϵ M of the …

Complexity of holomorphic maps from the complex unit ball to classical domains

M Xiao, Y Yuan - arXiv preprint arXiv:1609.07523, 2016 - arxiv.org
We study the complexity of holomorphic isometries and proper maps from the complex unit
ball to type IV classical domains. We investigate on degree estimates of holomorphic …