論文

査読有り
2011年6月

THE MODULI SPACE OF TRANSVERSE CALABI-YAU STRUCTURES ON FOLIATED MANIFOLDS

OSAKA JOURNAL OF MATHEMATICS
  • Takayuki Moriyama

48
2
開始ページ
383
終了ページ
413
記述言語
英語
掲載種別
研究論文(学術雑誌)
出版者・発行元
OSAKA JOURNAL OF MATHEMATICS

In this paper, we develop a moduli theory of transverse structures given by calibrations on foliated manifolds, including transverse Calabi-Yau structures. We show that the moduli space of the transverse structures is a smooth manifold of finite dimension under a cohomological assumption. We also prove a local Torelli type theorem. If the foliation is taut, we can construct a Riemannian metric on the set of transverse Riemannian structures. This metric induces a distance on the moduli space of the transverse structures given by a calibration. As an application, we show the moduli space of transverse Calabi-Yau structures is a Hausdorff and smooth manifold of finite dimension.

Web of Science ® 被引用回数 : 3

リンク情報
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000294971200006&DestApp=WOS_CPL
ID情報
  • ISSN : 0030-6126
  • Web of Science ID : WOS:000294971200006

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