$\widetilde{{\rm SL}(2, \mathbb{R})}$-HOMOGENEOUS VECTOR BUNDLES-Reference-Cited by-同舟云学术

$\widetilde{{\rm SL}(2, \mathbb{R})}$-HOMOGENEOUS VECTOR BUNDLES

Published:2008-01 Issue:01 Volume:19 Page:1-19
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

BISWAS INDRANIL¹,MISRA GADADHAR²

Affiliation:

1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India

2. Indian Statistical Institute, R. V. College Post Office, Bangalore 560059, India

Abstract

We describe all the holomorphic Hermitian vector bundles (E, h) over the upper half plane in ℂ with the property that (f* E, f* h) is holomorphically isometric to (E, h) for any holomorphic automorphism f of the upper half plane. We give an explicit construction of all such holomorphic Hermitian vector bundles using some linear algebraic data.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X08004534

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