| Coordinator: | Chi-Lung Chang | Wai Yan Pong |
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| Office: | NSM E-108 (310) 243-3395 | NSM A-125 (310) 243-2443 |
| Date: | 05/07/08 |
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| Speaker: | Alfonso Carriazo (University of Sevilla, SPAIN) |
| Title: | Submanifolds associated with graphs. |
| Abstract: |
Given an almost Hermitian manifold, the study of its submanifolds attending to their behaviors with respect to the ambient almost complex structure is a main topic in complex Riemannian geometry. In this sense, complex submanifolds, totally real submanifolds and CR submanifolds are well-known, and some other kinds of submanifolds have been introduced later as their natural generalizations: slant, semi-slant, quasi-slant, etc... All these submanifolds have something in common: they can be associated with graphs. Basically, we first construct a graph related to the tangent space at an arbitrary point of the submanifold, and then, we extend it differentiably to every point, in a certain way. In this talk, we show some advances on this idea, including general results on the structures of the associated graphs, characterizations of some kinds of submanifolds and some classifications in dimensions 4 and 6. We think that this association will provide us with new tools to study the general problem of classification of submanifolds, by establishing some nice relationships between two traditionally remote research areas: Differential Geometry and Discrete Mathematics. |
| Light refreshments will be served in NSM A-115 30 mins before the talk. All are welcome. |
| Upcoming talks | Spring 2008 |
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| Previous talks | 2008--, 2005--2007 , 2002--2004 |
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