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Youngju Kim, Tubular Neighborhoods in Complex Hyperbolic Manifolds

February 7 @ 4:00 pm - 5:00 pm KST

B236-1, IBS Korea, Republic of


Youngju Kim
Konkuk University

The 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.


February 7
4:00 pm - 5:00 pm KST
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IBS Korea, Republic of


Jaehyun Hong
IBS 복소기하학연구단 Center for Complex Geometry
기초과학연구원 복소기하학연구단
대전 유성구 엑스포로 55 (우) 34126
IBS Center for Complex Geometry
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
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