A characterization of a certain real hypersurface of the complex projective space

Authors

  • Takahito Kikukawa

DOI:

https://doi.org/10.1285/i15900932v18n2p281

Abstract

Let M be a geodesic hypersphere or a tube of radius r over a totally geodesic $CPk (1≤ k ≤ n-2, 0 < r < ?/2)$ in a complex projective space $CPn(4)$. We characterize M by using specific properties of the tensor field T of type $(1,2)$ defined by $$T_XY=η(Y)\phi AX-η(X)\phi AY-g(\phi AX,Y)\xi.$$

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Published

01-01-1998

Issue

Volume 18, Issue 2 (1998)

Section

Articoli

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