Lie Derivatives and Ricci Tensor on Real Hypersurfaces in Complex Two-plane Grassmannians
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Show full item recordEditorial
Canadian Mathematical Society
Date
2018-06-08Referencia bibliográfica
Jeong, I., de Dios Pérez, J., Suh, Y. J., & Woo, C. (2018). Lie derivatives and Ricci tensor on real hypersurfaces in complex two-plane Grassmannians. Canadian Mathematical Bulletin, 61(3), 543-552.
Abstract
On a real hypersurface M in a complex two-plane Grassmannian Gz(Cm+z) we have the
Lie derivation L and a diòerential operator of order one associated with the generalized Tanaka–
Webster connection L(k). We give a classiûcation of real hypersurfaces M on Gz(Cm+z) satisfying
L
(k)
S = L S, where epsilon is the Reeb vector ûeld on M and S the Ricci tensor of M.