Translator Disclaimer
August 2006 Affine differential geometry of the unit normal vector fields of hypersurfaces in the real space forms
Kazuyuki HASEGAWA
Hokkaido Math. J. 35(3): 613-627 (August 2006). DOI: 10.14492/hokmj/1285766420

Abstract

In this paper, for a hypersurface in the real space form of constant curvature, we prove that the unit normal vector field is an affine imbedding into a certain sphere bundle with canonical metric. Moreover, we study the relations between a hypersurface and its unit normal vector field as an affine imbedding. In particular, several hypersurfaces are characterized by affine geometric conditions which are independent of the choice of the transversal bundle.

Citation

Download Citation

Kazuyuki HASEGAWA. "Affine differential geometry of the unit normal vector fields of hypersurfaces in the real space forms." Hokkaido Math. J. 35 (3) 613 - 627, August 2006. https://doi.org/10.14492/hokmj/1285766420

Information

Published: August 2006
First available in Project Euclid: 29 September 2010

zbMATH: 1143.53011
MathSciNet: MR2275505
Digital Object Identifier: 10.14492/hokmj/1285766420

Subjects:
Primary: 53C43
Secondary: 53C42

Rights: Copyright © 2006 Hokkaido University, Department of Mathematics

JOURNAL ARTICLE
15 PAGES


SHARE
Vol.35 • No. 3 • August 2006
Back to Top