Conormal bundles with vanishing Maslov form
type: Item
instance of: scholarly article
title: Conormal bundles with vanishing Maslov form
zbMATH Open document ID: 0713.53019
DOI: 10.1007/BF01320695
author: Izu Vaisman
published in: Monatshefte für Mathematik
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/178478
review text: The Maslov class of a Lagrangian submanifold L of the cotangent bundle \(T^*M\) of a Riemannian manifold M is representable by a well defined 1- form called the Maslov form [e.g., the author, Symplectic geometry and secondary characteristic classes, Prog. Math. 72 (1987; Zbl 0629.53002)]. If L is the conormal bundle \(\nu^*N\) of a submanifold N of M, then the Maslov form vanishes iff N is minimal in M. If M is flat, the Maslov form vanishes iff \(\nu^*N\) is minimal in \(T^*M\), which relates the result to one given by \textit{R. Harvey} and \textit{H. B. Lawson} [Acta Math. 148, 47-157 (1982; Zbl 0584.53021)].
reviewed by: Izu Vaisman
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 4173810
zbMATH Keywords: Lagrangian submanifold
zbMATH Keywords: conormal bundle
zbMATH Keywords: Maslov form
zbMATH Keywords: minimal
MaRDI profile type: Publication
cites work: Calibrated geometries
cites work: Symplectic geometry and secondary characteristic classes
OpenAlex ID: W2088015321
description: scientific article; zbMATH DE number 4173810