Generalized Killing-Ricci Tensor for Real Hypersurfaces in Complex Hyperbolic Two-Plane Grassmannians

  • Suh, Young Jin
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초록

In this paper, first we introduce a new notion of generalized Killing-Ricci tensor for a real hypersurface M in complex hyperbolic two-plane Grassmannians SU2,m/S(U2.Um). Next we give a complete classification for Hopf real hypersurfaces in complex hyperbolic two-plane Grassmannians SU2,m/S(U2.Um) with generalized Killing-Ricci tensor.

키워드

Generalized Killing-Ricci tensor; Ricci curvature; cyclic parallel Ricci tensor; geodesic Reeb flow; Hopf hypersurface; Primary 53C40; Secondary 53C55; SPACES
제목
Generalized Killing-Ricci Tensor for Real Hypersurfaces in Complex Hyperbolic Two-Plane Grassmannians
저자
Suh, Young Jin
DOI
10.1007/s00009-021-01724-6
발행일
2021-03-19
유형
Article
저널명
Mediterranean Journal of Mathematics
권
18
호
3