Three-dimensional curvature homogeneous hypersurfaces

Giovanni Calvaruso; Rosa Anna Marinosci; Domenico Perrone

Archivum Mathematicum (2000)

  • Volume: 036, Issue: 4, page 269-278
  • ISSN: 0044-8753

Abstract

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This paper is motivated by the open problem whether a three-dimensional curvature homogeneous hypersurface of a real space form is locally homogeneous or not. We give some partial positive answers.

How to cite

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Calvaruso, Giovanni, Marinosci, Rosa Anna, and Perrone, Domenico. "Three-dimensional curvature homogeneous hypersurfaces." Archivum Mathematicum 036.4 (2000): 269-278. <http://eudml.org/doc/248532>.

@article{Calvaruso2000,
abstract = {This paper is motivated by the open problem whether a three-dimensional curvature homogeneous hypersurface of a real space form is locally homogeneous or not. We give some partial positive answers.},
author = {Calvaruso, Giovanni, Marinosci, Rosa Anna, Perrone, Domenico},
journal = {Archivum Mathematicum},
keywords = {curvature homogeneous spaces; isoparametric hypersurfaces; hypersurface; curvature homogeneous; locally homogeneous},
language = {eng},
number = {4},
pages = {269-278},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Three-dimensional curvature homogeneous hypersurfaces},
url = {http://eudml.org/doc/248532},
volume = {036},
year = {2000},
}

TY - JOUR
AU - Calvaruso, Giovanni
AU - Marinosci, Rosa Anna
AU - Perrone, Domenico
TI - Three-dimensional curvature homogeneous hypersurfaces
JO - Archivum Mathematicum
PY - 2000
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 036
IS - 4
SP - 269
EP - 278
AB - This paper is motivated by the open problem whether a three-dimensional curvature homogeneous hypersurface of a real space form is locally homogeneous or not. We give some partial positive answers.
LA - eng
KW - curvature homogeneous spaces; isoparametric hypersurfaces; hypersurface; curvature homogeneous; locally homogeneous
UR - http://eudml.org/doc/248532
ER -

References

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