Integral representations over isotropic submanifolds and equations of zero curvature
type: Item
instance of: scholarly article
title: Integral representations over isotropic submanifolds and equations of zero curvature
zbMATH Open document ID: 0926.53030
author: Yuri Vorobjev
author: M. V. Karasev
published in: Advances in Mathematics
publication date: 1999-11-23T00:00:00Z
review text: The following setting is considered. There is a submanifold \(\Lambda\) of the cotangent bundle \(T^*M\) of a Riemannian manifold \(M\) which is invariant under the Hamiltonian flow and which is isotropic, i.e., the form \(p dq\) is closed on \(\Lambda.\) The authors work with a global integral representation for quasimodes for the quantum Hamiltonian. This leads to certain geometrical objects over an isotropic submanifold.
reviewed by: Hans-Bert Rademacher
Mathematics Subject Classification ID: 53D05
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 1211554
zbMATH Keywords: isotropic submanifold
zbMATH Keywords: integral representation
zbMATH Keywords: quasimodes
zbMATH Keywords: geometric quantization
zbMATH Keywords: symplectic connection
MaRDI profile type: Publication
full work available at URL: aima.1997.1703
OpenAlex ID: W1978916646
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Integral representations over isotropic submanifolds and equations of zero curvature (DOI)
DOI: 10.1006/AIMA.1997.1703