Homogeneity of infinite dimensional isoparametric submanifolds

... finite and infinite dimensions). In Chapter 6 we study the geometry of finite dimensional isoparametric submanifolds. In Chapter. 7 we ...

Mini-Workshop: Generalizations of Symmetric Spaces

theory, where the symmetries of polar representations, homogeneous isoparametric submanifolds ... Homogeneity of infinite-dimensional isoparametric sub- manifolds ...

Список литературыThomas E. Cecil“Isoparametric and Dupin ...

65. Heintze E., Liu X., “Homogeneity of infinite dimensional isoparametric submanifolds”, Ann. of Math. (2), 149 (1999), 149–181 crossref · mathscinet zmath ...

Examples of a complex hyperpolar action without singular orbit

Christ,Homogeneity of equifocal submanifolds, J. ... Koike, Complex equifocal submanifolds and infinite dimensional anti-Kaehlerian isoparametric submanifolds, ...

POLITECNICO DI TORINO Repository ISTITUZIONALE

Helvetici, 69, (1994), pp. 483-499. [HL1]. Heintze, E. and Liu, X.: Homogeneity of infinite dimensional isoparametric submanifolds, ...

A geometric classification of positively curved symmetric spaces and ...

[Ab] Abresch, U. : Isoparametric hypersurfaces with four or six different principal curvatures. Necessary conditions on the multiplicities. Math.

Collapse of the mean curvature flow for isoparametric submanifolds ...

[HL] E. Heintze and X. Liu, Homogeneity of infinite dimensional isoparametric submanifolds, Ann. of Math. 149 (1999), 149-181. [ ...

Lagrangian geometry of the Gauss images of isoparametric ...

non-orientable). Some problems such as classification of homogeneous Lagrangian submanifolds ... us briefly review the Morse theory on finite dimensional ...

Controllability on Infinite-Dimensional Manifolds: A Chow

Heintze, E., Liu, X.: Homogeneity of infinite-dimensional isoparametric submanifolds. Ann. Math. 149(1), 149---181 (1999). Google Scholar. [26].

Isoparametric hypersurfaces with a homogeneous focal manifold

connected polygon with finite dimensional point and line space we get a sim- ... fication of 7-dimensional homogeneous Einstein manifolds with. SU(3) × SU(2) ...

小池直之 (Naoyuki Koike) - Homogeneity of infinite dimensional anti ...

Homogeneity of infinite dimensional anti-Kaehler isoparametric submanifolds. Tokyo Journal of Mathematics. Naoyuki Koike. 巻: 37; 号: 開始ページ: 159; 終了 ...

Citations Of Richard S. Palais' Books and Papers and H-Index

321 Citations; Homotopy theory of infinite dimensional manifolds, Topology 5 (1966) 1-16. ... 60 Citations; Topology of isoparametric submanifolds (with W.Y. ...

Hermitian–Grassmannian Submanifolds | springerprofessional.de

... homogeneity for Riemannian Hilbert quotient manifolds. We also extend a Theorem due to Nomizu and Ozeki to infinite dimensional Riemannian Hilbert manifolds.

Isoparametric submanifolds in Hilbert space. Oberseminar ...

Abstract: In finite dimensions, a submanifold of Euclidean space is called isoparametric if: (a) its normal bundle is flat; and (b) the ...

Clifford Algebras and New Isoparametric Hypersurfaces

Our examples include all previously known homogeneous and inhomogeneous (g = 4) examples with the excep- tion of two individual homogeneous cases of dimension 8 ...

ISOPARAMETRIC FOLIATIONS AND POLAR ACTIONS ON ... - UAM

use of a homogeneity result for isoparametric submanifolds of a Hilbert space H (with codi- mension greater than one if H is infinite dimensional, or with ...

Isoparametric submanifolds and a Chevalley-type restriction theorem

We also show that our definition coincides with that of Terng ([T1], [T2]), if the ambient manifold is a euclidean space, possibly an infinite dimensional ...

A Convexity Theorem For Isoparametric Submanifolds

[O] Olmos, C.: Isoparametric submanifolds and their homogeneous ... [T2] Terng, C.L.: Convexity theorem for infinite dimensional isoparametric.

notes on isoparametric hypersurfaces

2, then. -umbilical. If the number of distinct principal curvatures is g the hypersurface is obtained locally by taking a submanifold of dimension equal to the ...

SUBMANIFOLDS IN COMPLEX PROJECTIVE AND HYPERBOLIC ...

M, n-dimensional submanifolds are Lagrangian precisely if they ... important to mention that, in real space forms, homogeneous isoparametric submanifolds.