A note on Blaschke isoparametric hypersurfaces

Tongzhu Li; Changping Wang

doi:10.1142/S0129167X14501171

A note on Blaschke isoparametric hypersurfaces

Tongzhu Li
, Changping Wang

School of Mathematics and Statistics

Fujian Normal University

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

In this paper, we prove that a Möbius isoparametric hypersurface is a Blaschke isoparametric hypersurface, and a Blaschke isoparametric hypersurface is a Möbius isoparametric hypersurface provided that the Blaschke tensor has more than two distinct eigenvalues.

Original language	English
Article number	1450117
Journal	International Journal of Mathematics
Volume	25
Issue number	12
DOIs	https://doi.org/10.1142/S0129167X14501171
Publication status	Published - 16 Nov 2014

Keywords

Blaschke isoparametric hypersurface
Möbius invariants
Möbius isoparametric hypersurface

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10.1142/S0129167X14501171

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title = "A note on Blaschke isoparametric hypersurfaces",

abstract = "In this paper, we prove that a M{\"o}bius isoparametric hypersurface is a Blaschke isoparametric hypersurface, and a Blaschke isoparametric hypersurface is a M{\"o}bius isoparametric hypersurface provided that the Blaschke tensor has more than two distinct eigenvalues.",

keywords = "Blaschke isoparametric hypersurface, M{\"o}bius invariants, M{\"o}bius isoparametric hypersurface",

author = "Tongzhu Li and Changping Wang",

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year = "2014",

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language = "English",

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T1 - A note on Blaschke isoparametric hypersurfaces

AU - Li, Tongzhu

AU - Wang, Changping

PY - 2014/11/16

Y1 - 2014/11/16

N2 - In this paper, we prove that a Möbius isoparametric hypersurface is a Blaschke isoparametric hypersurface, and a Blaschke isoparametric hypersurface is a Möbius isoparametric hypersurface provided that the Blaschke tensor has more than two distinct eigenvalues.

AB - In this paper, we prove that a Möbius isoparametric hypersurface is a Blaschke isoparametric hypersurface, and a Blaschke isoparametric hypersurface is a Möbius isoparametric hypersurface provided that the Blaschke tensor has more than two distinct eigenvalues.

KW - Blaschke isoparametric hypersurface

KW - Möbius invariants

KW - Möbius isoparametric hypersurface

UR - https://www.scopus.com/pages/publications/84929303741

U2 - 10.1142/S0129167X14501171

DO - 10.1142/S0129167X14501171

M3 - Article

AN - SCOPUS:84929303741

SN - 0129-167X

VL - 25

JO - International Journal of Mathematics

JF - International Journal of Mathematics

IS - 12

M1 - 1450117

ER -

A note on Blaschke isoparametric hypersurfaces

Abstract

Keywords

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