論文

査読有り
2010年6月

Deformations of Transverse Calabi-Yau Structures on Foliated Manifolds

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES
  • Takayuki Moriyama

46
2
開始ページ
335
終了ページ
357
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.2977/PRIMS/11
出版者・発行元
KYOTO UNIV

We develop a deformation theory of transverse structures given by calibrations on foliated manifolds, including transverse Calabi-Yau, hyperkahler, G(2) and Spin(7) structures. We show that the deformation space of the transverse structures is smooth under a cohomological assumption. As an application, we obtain unobstructed deformations of transverse Calabi-Yau structures on foliated manifolds. We also prove a Moser type stability result for transverse structures, which implies Moser's stability theorem for presymplectic forms.

Web of Science ® 被引用回数 : 4

リンク情報
DOI
https://doi.org/10.2977/PRIMS/11
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000281366900004&DestApp=WOS_CPL
ID情報
  • DOI : 10.2977/PRIMS/11
  • ISSN : 0034-5318
  • Web of Science ID : WOS:000281366900004

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