2016年8月

# Deformations of special Legendrian submanifolds in Sasaki-Einstein manifolds

MATHEMATISCHE ZEITSCHRIFT
• Takayuki Moriyama

283
3-4

1111

1147

DOI
10.1007/s00209-016-1635-8

SPRINGER HEIDELBERG

In this paper we study the deformation theory of submanifolds characterized by a system of differential forms and provide a criterion for deformations of such submanifolds to be unobstructed. We apply this deformation theory to special Legendrian submanifolds in Sasaki-Einstein manifolds. In general, special Legendrian deformations have the obstruction. However, we show that the deformation space of special Legendrian submanifolds is the intersection of two larger smooth deformation spaces of different types. We also prove that any special Legendrian submanifold admits smooth deformations, which are not special Legendrian deformations, given by harmonic 1-forms.

Web of Science ® 被引用回数 : 2

リンク情報
DOI
https://doi.org/10.1007/s00209-016-1635-8
Web of Science