Real Hypersurfaces in Complex Two-Plane Grassmannians with Generalized Tanaka-Webster Invariant Shape Operator
In this paper, we introduce a new notion of the generalized Tanaka-Webster invariant for a hypersurface M in G₂(C^m+2), and give a non-existence theorem for Hopf hypersurfaces in G₂(C^m+2) with generalized Tanaka-Webster invariant shape operator.
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| Date: | 2013 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2013
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| Series: | Журнал математической физики, анализа, геометрии |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/106759 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Real Hypersurfaces in Complex Two-Plane Grassmannians with Generalized Tanaka-Webster Invariant Shape Operator / I. Jeong, E. Pak, Y.J. Suh // Журнал математической физики, анализа, геометрии. — 2013. — Т. 9, № 3. — С. 360-378. — Бібліогр.: 17 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | In this paper, we introduce a new notion of the generalized Tanaka-Webster invariant for a hypersurface M in G₂(C^m+2), and give a non-existence theorem for Hopf hypersurfaces in G₂(C^m+2) with generalized Tanaka-Webster invariant shape operator. |
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