Deformations of isotropic submanifolds in Kähler manifolds

Bang yen Chen*, Jean Marie Morvan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


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
Issue number1
StatePublished - Jan 1994
Externally publishedYes


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

ASJC Scopus subject areas

  • Mathematical Physics
  • General Physics and Astronomy
  • Geometry and Topology


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