[图书][B] Submanifolds and holonomy

J Berndt, S Console, CE Olmos - 2016 - books.google.com
This second edition explores recent progress in the submanifold geometry of space forms,
including new methods based on the holonomy of the normal connection. It contains five …

The Isoparametric Story, a Heritage of\'{E} lie Cartan

QS Chi - arXiv preprint arXiv:2007.02137, 2020 - arxiv.org
arXiv:2007.02137v1 [math.DG] 4 Jul 2020 Page 1 arXiv:2007.02137v1 [math.DG] 4 Jul 2020
THE ISOPARAMETRIC STORY, A HERITAGE OF ÉLIE CARTAN QUO-SHIN CHI Abstract. In …

[HTML][HTML] On the Work of Cartan and Münzner on Isoparametric Hypersurfaces

TE Cecil, PJ Ryan - Axioms, 2025 - mdpi.com
A hypersurface M n in a real space form R n+ 1, S n+ 1, or H n+ 1 is isoparametric if it has
constant principal curvatures. This paper is a survey of the fundamental work of Cartan and …

[图书][B] Homogeneous spaces, Tits buildings, and isoparametric hypersurfaces

L Kramer - 2002 - books.google.com
This title classifys 1-connected compact homogeneous spaces which have the same rational
cohomology as a product of spheres $\mahtbb {S} DEGREES {n_1}\times\mathbb {S} …

Clifford systems in octonionic geometry

M Parton, P Piccinni, V Vuletescu - arXiv preprint arXiv:1511.06239, 2015 - arxiv.org
arXiv:1511.06239v3 [math.DG] 12 Sep 2016 Page 1 CLIFFORD SYSTEMS IN
OCTONIONIC GEOMETRY MAURIZIO PARTON, PAOLO PICCINNI, AND VICTOR …

Homogeneous compact geometries

L Kramer, A Lytchak - Transformation Groups, 2014 - Springer
HOMOGENEOUS COMPACT GEOMETRIES Page 1 Transformation Groups c Springer
Science+Business Media New York (2014) HOMOGENEOUS COMPACT GEOMETRIES L …

[引用][C] Geometry of Hypersurfaces

TE Cecil - 2015 - Springer

Algebraic sets associated to isoparametric submanifolds

CU Sánchez - Contemporary Mathematics, 2009 - books.google.com
In this paper we present some results about the algebraic sets of normal sections associated
to compact spherical submanifolds of Euclidean spaces. In the first part we indicate some …

On submanifolds whose shape operator is unipotent

AJ Di Scala - Journal of Geometry, 2006 - Springer
On submanifolds whose shape operator is unipotent Page 1 J. Geom. 85 (2006) 32 – 34
0047–2468/06/020032 – 3 © Birkhäuser Verlag, Basel, 2006 DOI 10.1007/s00022-006-0039-z …

Isoparametric hypersurfaces

TE Cecil, PJ Ryan, TE Cecil, PJ Ryan - Geometry of Hypersurfaces, 2015 - Springer
This chapter is devoted to the basic theory of isoparametric hypersurfaces in real space
forms developed by primarily by Cartan [66–69] and Münzner [505, 506]. We present the …