A local Martinelli-Bochner formula on hypersurfaces
type: Item
instance of: scholarly article
title: A local Martinelli-Bochner formula on hypersurfaces
zbMATH Open document ID: 0791.32006
DOI: 10.1007/BF02572431
author: Bert Fischer
author: Jürgen Leiterer
published in: Mathematische Zeitschrift
publication date: 1994-07-11T00:00:00Z
full work available at URL: https://eudml.org/doc/174593
review text: Let \(M\) be a real \(C^ 2\) hypersurface in \(\mathbb{C}^ n\) whose Levi form has at least one positive and at least one negative eigenvalue at some point \(z_ 0 \in M\) (in tangential direction). We prove: There exist a neighborhood \(U \subseteq M\) of \(z_ 0\) and a continuous differential form \(K(z,y)\) defined for \(z,y \in U\) with \(z \neq y\), of bidegree \((n,n- 2)\) in \(y\) and of bidegree zero in \(z\), which has some useful properties with respect to Cauchy-Riemann functions on \(M\), similar to the properties of the Martinelli-Bochner kernel with respect to holomorphic functions.
reviewed by: Jürgen Leiterer
Mathematics Subject Classification ID: 32V40
Mathematics Subject Classification ID: 32A25
Mathematics Subject Classification ID: 32C30
zbMATH DE Number: 567433
zbMATH Keywords: real \(C^ 2\) hypersurface in \(\mathbb{C}^ n\)
zbMATH Keywords: Levi form
zbMATH Keywords: Cauchy-Riemann functions
zbMATH Keywords: Martinelli-Bochner
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 567433