Recent progress in isoparametric functions and isoparametric hypersurfaces

Chao Qian, Zizhou Tang*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

9 Citations (Scopus)

Abstract

This paper gives a survey of recent progress in isoparametric functions and isoparametric hypersurfaces, mainly in two directions. (1) Isoparametric functions on Riemannian manifolds, including exotic spheres. The existences and non-existences will be considered. (2) The Yau conjecture on the first eigenvalues of the embedded minimal hypersurfaces in the unit spheres. The history and progress of the Yau conjecture on minimal isoparametric hypersurfaces will be stated.

Original languageEnglish
Title of host publicationReal and Complex Submanifolds
EditorsHyunjin Lee, Jürgen Berndt, Yoshihiro Ohnita, Byung Hak Kim, Young Jin Suh
PublisherSpringer New York LLC
Pages65-76
Number of pages12
ISBN (Electronic)9784431552147
DOIs
Publication statusPublished - 2014
Externally publishedYes
EventSatellite Conference on Real and Complex Submanifolds ICM 2014 with 18th International Workshop on Differential Geometry - Daejeon, Korea, Republic of
Duration: 10 Aug 201412 Aug 2014

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume106
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

ConferenceSatellite Conference on Real and Complex Submanifolds ICM 2014 with 18th International Workshop on Differential Geometry
Country/TerritoryKorea, Republic of
CityDaejeon
Period10/08/1412/08/14

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