Deformations of special Legendrian submanifolds with boundary
首发时间:2011-12-12
Abstract:In this article, for a compact special Legendrian submanifold withboundary of contact Calabi-Yau manifolds we study the deformationof it with boundary confined in an appropriately chosen contactsubmanifold of codimension two which we also call a scafford(Definition 4) by analogy with Butsher[1].Our result shows that it cannot bedeformed under such a boundary confinement. This result may be viewedas supplements of the compact boundless case considered by Tomassini andVezzoni[2].
keywords: Contact geometry Contact Calabi-Yau manifolds special Legendriansubmanifolds with boundary scaffold
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带边特殊勒让德子流形的形变
摘要:对切触卡拉比-丘流形中一个紧致带边特殊勒让德子流形,本文研究了在其边界包含在一个选定的余维数二的切触子流形(类比于 Butsher[1]还称为支架)时它的形变。我们的结果表明在这样的边界约束下它不能形变. 该结果可看为是对 Tomassini 与Vezzoni[2]中所考虑的紧无边情况的补充。
关键词: 切触几何 切触卡拉比-丘流形 带边特殊勒让德子流形 支架
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