Real hypersurfaces in complex two-plane Grassmannians whose shape operator is recurrent for the generalized Tanaka--Webster connection
| Autor: | Young Jin Suh, Juan de Dios Pérez, Changhwa Woo |
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| Rok vydání: | 2015 |
| Předmět: |
Pure mathematics
Trace (linear algebra) Mathematics::Complex Variables Plane (geometry) General Mathematics Mathematical analysis Structure (category theory) Connection (mathematics) Real hypersurfaces complex two-plane Grassmannians Hopf hypersurface generalized Tanaka-Webster connection recurrent shape operator Principal curvature Shape operator Vector field Mathematics::Differential Geometry Mathematics |
| Zdroj: | Volume: 39, Issue: 3 313-321 Turkish Journal of Mathematics |
| ISSN: | 1303-6149 1300-0098 |
| DOI: | 10.3906/mat-1403-74 |
| Popis: | We prove the non-existence of Hopf real hypersurfaces in complex two-plane Grassmannians whose shape operator $A$ is generalized Tanaka-Webster recurrent if the principal curvature of the structure vector field is not equal to trace(A). |
| Databáze: | OpenAIRE |
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