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Conformal Transformations of a Weyl Manifold
Fumio Narita,Takafumi Satou 경북대학교 자연과학대학 수학과 2004 Kyungpook mathematical journal Vol.44 No.1
For a conformal transformation of a Weyl manifold, we study the properties of the pseudo-Schwarzian tensors and the Ricci curvatures. We give some invariants which do not vary under conformal transformations or Mobius transformations.
Riemannian Submersions fromk-Generalized Hopf Manifolds
Fumio Narita KYUNGPOOK UNIVERSITY 1997 Kyungpook mathematical journal Vol.37 No.2
The purpose of the present paper is to study the differential geometric properties of Riemannian submersions from a k-generalized Hopf manifold with connected complex totally geodesic fibers
Pseudo-Schwarzian Tensor of Weyl Manifolds
Fumio Narita KYUNGPOOK UNIVERSITY 2001 Kyungpook mathematical journal Vol.41 No.1
We define the pseudo-Schwarzian tensor of a Weyl manifold and we show that the pseudo-Schwarzian tensor is invariant by a Möbius change of metric. Next, we give some properties of the pseudo-Schwarzian tensor.