On the Hamiltonian minimality of normal bundles

Toru Kajigaya

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A Hamiltonian minimal (shortly, H-minimal) Lagrangian submanifold in a Kähler manifold is a critical point of the volume functional under all compactly supported Hamiltonian deformations.We show that any normal bundle of a principal orbit of the adjoint representation of a compact simple Lie group G in the Lie algebra g of G is an H-minimal Lagrangian submanifold in the tangent bundle T g which is naturally regarded as Cm. Moreover, we specify these orbits with this property in the class of full irreducible isoparametric submanifolds in the Euclidean space.

Original languageEnglish
Title of host publicationReal and Complex Submanifolds
EditorsHyunjin Lee, Jürgen Berndt, Yoshihiro Ohnita, Byung Hak Kim, Young Jin Suh
PublisherSpringer New York LLC
Pages485-496
Number of pages12
ISBN (Electronic)9784431552147
DOIs
Publication statusPublished - 2014 Jan 1
EventSatellite Conference on Real and Complex Submanifolds ICM 2014 with 18th International Workshop on Differential Geometry - Daejeon, Korea, Republic of
Duration: 2014 Aug 102014 Aug 12

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume106
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Other

OtherSatellite Conference on Real and Complex Submanifolds ICM 2014 with 18th International Workshop on Differential Geometry
CountryKorea, Republic of
CityDaejeon
Period14/8/1014/8/12

ASJC Scopus subject areas

  • Mathematics(all)

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