We obtain the rigidity for local holomorphic isometric maps from B n , n ≥ 2 \documentclass[12pt]{minimal}
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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 …

We first give an exposition on holomorphic isometries from the Poincaré disk to polydisks
and from the Poincaré disk to the product of the Poincaré disk with a complex unit ball. As an …

In his seminal work Calabi established the foundation on the study of holomorphic
isometries from a Kähler manifold with real analytic local potential functions into complex …

For a planar domain $ D\subset\mathbb {C} $ and an admissible weight function $\mu $ on
it, some aspects of the corresponding weighted Bergman kernel $ K_ {D,\mu} $ are studied …

Remarks on holomorphic isometric embeddings between bounded symmetric domains |
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For a planar domain D⊂ C and an admissible weight function µ on it, some aspects of the
boundary behaviour of the corresponding weighted Bergman kernel KD, µ are studied. First …

The classical Hopf lemma for subharmonic functions has been applied extensively in
complex analysis to study holomorphic maps between domains or CR maps between real …

Full article: Finding the Determinant of a Matrix via Complex Analysis Skip to Main Content
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arXiv:1708.00089v22 [math.CV] 31 Oct 2021 Page 1 arXiv:1708.00089v22 [math.CV] 31 Oct
2021 Formal Embeddings Between bSP-Models Valentin Burcea Abstract. It is studied the …