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DTSTART:20230101T000000
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DTSTART;TZID=Asia/Seoul:20240207T160000
DTEND;TZID=Asia/Seoul:20240207T170000
DTSTAMP:20260517T181654
CREATED:20240104T115944Z
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SUMMARY:Youngju Kim\, Tubular Neighborhoods in Complex Hyperbolic Manifolds
DESCRIPTION:    Speaker\n\n\nYoungju Kim\nKonkuk University\n\n\n\n\n\n\nThe collar lemma says that a closed geodesic in a real hyperbolic 2-manifold has an embedded tubular neighborhood whose width only depends on the length of the geodesic. The width of the collar does not depend on the underlying hyperbolic 2-manifold. On the other hand\, a totally geodesic surface with codimension bigger than 1 in a hyperbolic manifold of can be arbitrary closed to itself. Here\, we prove that an embedded complex totally geodesic surface in a complex hyperbolic 2-manifold has a tubular neighborhood whose size depends only on its area. This is a joint work with A. Basmajian.
URL:https://ccg.ibs.re.kr/event/2024-02-07/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
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