ScholarLens Back to search
2004•Asian Journal of MathematicsOpen access

Positivity Conditions for Hermitian Symmetric Functions

John P. D’Angelo, Dror Varolin

Open full text 21 citations

Abstract

Dedicated to Yum-Tong Siu on the occasion of his sixtieth birthday Introduction.We introduce a family of positivity conditions for Hermitian symmetric functions, establish basic properties, and connect the ideas with complex geometry.Let M be a complex manifold, and let M denote its complex conjugate manifold.In this paper M will typically be either C n or the total space of a holomorphic line bundle over a compact complex manifold.A holomorphic function R : M × M → C is called Hermitian symmetric if R(z, w) = R(w, z)

Open-access reader

About this research paper

What this paper is about

Dedicated to Yum-Tong Siu on the occasion of his sixtieth birthday Introduction.We introduce a family of positivity conditions for Hermitian symmetric functions, establish basic properties, and connect the ideas with complex geometry.Let M be a complex manifold, and let M denote its complex conjugate manifold.In this paper M will typically be either C n or the total space of a holomorphic line bundle over a compact complex manifold.A holomorphic function R : M × M → C is called Hermitian symmetric if R(z, w) = R(w, z)

Why it matters

OpenAlex reports 21 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Dedicated to Yum-Tong Siu on the occasion of his sixtieth birthday Introduction.We introduce a family of positivity conditions for Hermitian symmetric functions, establish basic properties, and connect the ideas with complex geometry.Let M be a complex manifold, and let M denote its complex conjugate manifold.In this paper M will typically be either C n or the total space of a holomorphic line bundle over a compact complex manifold.A holomorphic function R : M × M → C is called Hermitian symmetric if R(z, w) = R(w, z)

Key concepts: Hermitian manifold, Complex manifold, Holomorphic function, Mathematics, Hermitian matrix, Hermitian symmetric space, Complex conjugate, Pure mathematics

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Positivity Conditions for Hermitian Symmetric Functions — Research Paper | ScholarLens