Real hypersurfaces in complex two-plane Grassmannians with GTW Reeb Lie derivative structure Jacobi operator
2014
Online
report
Using generalized Tanaka-Webster connection, we considered a real hypersurface $M$ in a complex two-plane Grassmannian $G_2({\mathbb C}^{m+2})$ when the GTW Reeb Lie derivative of the structure Jacobi operator coincides with the Reeb Lie derivative. Next using the method of simultaneous diagonalization, we prove a complete classification for a real hypersurface in $G_2({\mathbb C}^{m+2})$ satisfying such a condition. In this case, we have proved that $M$ is an open part of a tube around a totally geodesic $G_2({\mathbb C}^{m+1})$ in $G_2({\mathbb C}^{m+2})$.
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Real hypersurfaces in complex two-plane Grassmannians with GTW Reeb Lie derivative structure Jacobi operator
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Autor/in / Beteiligte Person: | Pak, Eunmi ; Kim, Gyu Jong ; Suh, Young Jin |
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Veröffentlichung: | 2014 |
Medientyp: | report |
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