Stability of complete minimal Lagrangian submanifold and L2 harmonic 1-forms

Reiko Miyaoka, Satoshi Ueki

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

1 Citation (Scopus)

Abstract

We show that a non-compact complete stable minimal Lagrangian submanifold L in a Kähler manifold with positive Ricci curvature has no non-trivial L2 harmonic 1-forms, which gives a topological and conformal constraint on L.

Original languageEnglish
Title of host publicationReal and Complex Submanifolds
EditorsYoung Jin Suh, Yoshihiro Ohnita, Hyunjin Lee, Jürgen Berndt, Byung Hak Kim
PublisherSpringer New York LLC
Pages89-95
Number of pages7
ISBN (Electronic)9784431552147
DOIs
Publication statusPublished - 2014
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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