A filtration for isoparametric hypersurfaces in Riemannian manifolds

Jianquan Ge, Zizhou Tang, Wenjiao Yan

Type: Article

Publication Date: 2015-07-01

Citations: 35

DOI: https://doi.org/10.2969/jmsj/06731179

View Publication

Locations

Journal of the Mathematical Society of Japan - View
arXiv (Cornell University) - View - PDF
Project Euclid (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	A Filtration for Isoparametric Hypersurfaces in Riemannian Manifolds	2011	Jianquan Ge Zizhou Tang Wenjiao Yan
+	A filtration for isoparametric hypersurfaces in Riemannian manifolds	2015	Jianquan Ge Zizhou Tang Wenjiao Yan
+ PDF Chat	Isoparametric hypersurfaces in symmetric spaces of non-compact type and higher rank	2024	Miguel Domínguez-Vázquez Víctor Sanmartín-López
+	On an inhomogeneous isoparametric family of hypersurfaces with constant principal curvatures in the Cayley hyperbolic plane	2012	Miguel Domínguez-Vázquez
+	Isoparametric hypersurfaces in complex hyperbolic spaces	2017	José Carlos Díaz-Ramos Miguel Domínguez-Vázquez Víctor Sanmartín-López
+	Isoparametric hypersurfaces in the pseudo-riemannian space forms	1984	J. W. Hahn
+	Isoparametric functions on $\mathbb{R}^n\times\mathbb{M}^m$	2018	Jurgen Julio-Batalla
+	Isoparametric hypersurfaces in symmetric spaces of non-compact type and higher rank	2021	Miguel Domínguez-Vázquez Víctor Sanmartín-López
+ PDF Chat	A classification of Riemannian 3-manifolds with constant principal ricci curvatures<i>ρ<sub>1</sub>= ρ<sub>2</sub>≠ ρ<sub>3</sub></i>	1993	Oldřich Kowalski
+	A Survey on Isoparametric Hypersurfaces and Their Generalizations	2000	Gudlaugur Thorbergsson
+	Isoparametric hypersurfaces in product spaces	2022	João Batista Marques dos Santos João Paulo dos Santos
+ PDF Chat	Isoparametric hypersurfaces in a Randers sphere of constant flag curvature	2017	Ming Xu
+	A new structural approach to isoparametric hypersurfaces in spheres	2014	Anna Siffert
+	A new structural approach to isoparametric hypersurfaces in spheres	2014	Anna Siffert
+	Hypersurfaces with constant principal curvatures in Sn×R and Hn×R	2019	Rosa M. B. Chaves Eliane Santos
+	Isoparameteric hypersurfaces in a Randers sphere of constant flag curvature	2017	Ming Xu
+	Inhomogeneity of Isoparametric Hypersurfaces of OT-FKM-type in the Pseudo-Sphere	2023	Yuta Sasahara
+	A sufficient condition for a hypersurface to be isoparametric	2018	Zizhou Tang Dongyi Wei Wenjiao Yan
+ PDF Chat	A new structural approach to isoparametric hypersurfaces in spheres	2017	Anna Siffert
+ PDF Chat	Isoparametric surfaces in $E(\kappa,\tau)$-spaces	2019	Miguel Domínguez-Vázquez José M. Manzano

Works That Cite This (34)

Action	Title	Year	Authors
+ PDF Chat	Normal Scalar Curvature Inequality on the Focal Submanifolds of Isoparametric Hypersurfaces	2018	Jianquan Ge Zizhou Tang Wenjiao Yan
+	Isoparametric theory and its applications	2017	Zizhou Tang Wenjiao Yan
+	Real hypersurfaces in complex two-plane Grassmannians with generalized Tanaka–Webster Reeb parallel shape operator	2013	Imsoon Jeong Makoto Kimura Hyunjin Lee Young Jin Suh
+	Differentiable classification of 4-manifolds with singular Riemannian foliations	2013	Jianquan Ge Marco Radeschi
+	Hopf Hypersurfaces	2015	Thomas E. Cecil Patrick J. Ryan
+ PDF Chat	Isoparametric Hypersurfaces	2015	Thomas E. Cecil Patrick J. Ryan
+ PDF Chat	Topology and Curvature of Isoparametric Families in Spheres	2022	Chao Qian Zizhou Tang Wenjiao Yan
+	Isoparametric functions on exotic spheres	2015	Chao Qian Zizhou Tang
+	Isoparametric hypersurfaces in Damek–Ricci spaces	2013	José Carlos Díaz-Ramos Miguel Domínguez-Vázquez
+	Homogeneous Einstein-like metrics on spheres and projective spaces	2015	Chiakuei Peng Chao Qian

Works Cited by This (45)

Action	Title	Year	Authors
+ PDF Chat	Geometric Realizations of Curvature	2011	Miguel Brozos‐Vázquez Peter Gilkey Stana Nikčević
+ PDF Chat	Commutative algebra with a view toward algebraic geometry	1996	David Eisenbud
+ PDF Chat	Submanifold geometry in symmetric spaces	1995	Chuu-Lian Terng Gudlaugur Thorbergsson
+	Principal curvatures of isoparametric hypersurfaces in ℂℙⁿ	2000	Liang Xiao
+ PDF Chat	A curvature characterization of certain locally rank-one symmetric spaces	1988	Quo-Shin Chi
+ PDF Chat	Dupin hypersurfaces, group actions and the double mapping cylinder	1987	Karsten Grove Stephen Halperin
+	Polynomial Invariants of Finite Groups	1995	Larry Smith
+	A Survey on Isoparametric Hypersurfaces and Their Generalizations	2000	Gudlaugur Thorbergsson
+ PDF Chat	A class of hypersurfaces with constant principal curvatures in a sphere	1976	Ryoichi Takagi
+	Chern conjecture and isoparametric hypersurfaces	2010	Jianquan Ge Zizhou Tang