Deformations of isotropic submanifolds in Kähler manifolds

Bang yen Chen; Jean Marie Morvan

doi:10.1016/0393-0440(94)90061-2

Deformations of isotropic submanifolds in Kähler manifolds

Bang yen Chen^*, Jean Marie Morvan

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

20 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 language	English (US)
Pages (from-to)	79-104
Number of pages	26
Journal	Journal of Geometry and Physics
Volume	13
Issue number	1
DOIs	https://doi.org/10.1016/0393-0440(94)90061-2
State	Published - Jan 1994
Externally published	Yes

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
General Physics and Astronomy
Geometry and Topology

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10.1016/0393-0440(94)90061-2

Cite this

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title = "Deformations of isotropic submanifolds in K{\"a}hler manifolds",

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.",

keywords = "1991 MSC: 53 C 40, 53 B 25, 58 E 99, 58 F 05, K{\"a}hler manifolds, deformations, submanifolds",

author = "Chen, {Bang yen} and Morvan, {Jean Marie}",

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AU - Chen, Bang yen

AU - Morvan, Jean Marie

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Y1 - 1994/1

N2 - 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.

AB - 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.

KW - 1991 MSC: 53 C 40

KW - 53 B 25

KW - 58 E 99

KW - 58 F 05

KW - Kähler manifolds

KW - deformations

KW - submanifolds

UR - http://www.scopus.com/inward/record.url?scp=38149144738&partnerID=8YFLogxK

U2 - 10.1016/0393-0440(94)90061-2

DO - 10.1016/0393-0440(94)90061-2

M3 - Article

AN - SCOPUS:38149144738

SN - 0393-0440

VL - 13

SP - 79

EP - 104

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

IS - 1

ER -

Deformations of isotropic submanifolds in Kähler manifolds

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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