Deformations of isotropic submanifolds in Kähler manifolds

Bang yen Chen*, Jean-Marie Morvan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

We study the first and second variations of isotropic submanifolds which preserve the isotropy. In order to do so, we introduce the notions of harmonic, exact and isotropic variations and investigate basic properties of isotropic submanifolds which are minimal under such deformations. Many results in this respect are then obtained. In particular, we obtain a new characterization of Maslov class in terms of such deformations.

Original languageEnglish (US)
Pages (from-to)79-104
Number of pages26
JournalJournal of Geometry and Physics
Volume13
Issue number1
DOIs
StatePublished - Jan 1 1994

Keywords

  • 1991 MSC: 53 C 40
  • 53 B 25
  • 58 E 99
  • 58 F 05
  • Kähler manifolds
  • deformations
  • submanifolds

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Geometry and Topology

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