[PDF] Convexity theorem for infinite dimensional isoparametric ...

(PDF) Convexity theorem for infinite dimensional isoparametric ...

PDF | this paper is to prove Theorem 1.6 below, an analoguefor infinite dimensional isoparametric submanifolds in Hilbert space ofthe Kostant convexity.

Convexity theorem for infinite dimensional isoparametric submanifolds

The main purpose of this paper is to prove Theorem 1.6 below, an analogue for infinite dimensional isoparametric submanifolds in Hilbert space of the ...

(PDF) Convexity theorem for infinite dimensional isoparametric ...

1998. Flag manifolds of a classical compact Lie group G considered up to a diffeomorphism are described in terms of painted Dynkin diagrams.

[PDF] Convexity theorem for infinite dimensional isoparametric ...

The main purpose of this paper is to prove Theorem 1.6 below, an analogue for infinite dimensional isoparametric submanifolds in Hilbert space of the ...

Convexity theorem for infinite dimensional isoparametric submanifolds

Convexity theorem for infinite dimensional isoparametric submanifolds ... Article PDF. Download to read the full article text. Use our pre-submission checklist.

A Convexity Theorem For Isoparametric Submanifolds

We assume that M is an n-dimensional full isoparametric submanifold of Rn+k . Fact 1 [T1 p.490] Let v be a parallel normal field on M such that.

Homogeneity of infinite dimensional isoparametric submanifolds

, Convexity theorem for infinite dimensional isoparametric submanifolds,. Invent. Math. 112 (1993), 9–22. [TT]. C. L. Terng and G. Thorbergsson, Submanifold ...

Homogeneity of infinite dimensional isoparametric submanifolds

Theorem A. Let M be a complete, connected, irreducible isoparametric submanifold in a Hilbert space V . Assume that the set of all the curvature normals ...

Connectivity and Convexity Properties of the Momentum Map for ...

They proved an extension of Theorem. 1.0.1 for the based loop group, an infinite-dimensional symplectic manifold, with a finite- dimensional torus action.

CONNECTIVITY AND KIRWAN SURJECTIVITY FOR ...

Theorem 1.2 can be extended to the infinite dimensional situation. The ... TERNG, Convexity theorems for infinite dimensional isoparametric sub-.

[PDF] Homogeneity of infinite dimensional isoparametric submanifolds

23 References ; Isoparametric submanifolds and their homogeneous structures · C. Olmos · 1993 · 55 Citations · PDF ; Convexity theorem for infinite ...

arXiv:0903.0840v2 [math.DG] 11 Sep 2009 - ResearchGate

the second by the convexity theorem of Terng [Te3, Theorem 1.6] for infinite dimensional isoparametric submanifolds (for more details, see Section 2.2 below).

An isoperimetric inequality for closed curves convex in even ...

CONVEX IN EVEN-DIMENSIONAL EUCLIDEAN SPACES* ... A proof that Theorem II implies the isoperimetric inequality of Theo-.

arXiv:1904.03408v2 [math.DG] 2 May 2019

Liu, Homogeneity of infinite-dimensional isoparametric submanifolds, Ann. ... [23]. , Convexity theorem for isoparametric submanifolds, Invent.

L evy–Gromov's isoperimetric inequality for an in nite dimensional di ...

We establish, by simple semigroup arguments, a L evy–Gromov isoperimetric inequality for the invariant measure of an infinite dimensional diffusion generator of ...

Kostant convexity for symmetric R-spaces revisited

Our goal here is to give an alternative proof of this theorem. ... Terng, Convexity theorems for infinite dimensional isoparametric submanifolds, Invent.

Convexity and Cohomology of the Based Loop Group by Tyler Holden

We show that both the Kirwan and Duistermaat convexity theorems hold in this infinite dimensional setting. ii. Page 3. For my grandmother Ayako (Irene) Tabata, ...

isoparametric submanifolds of hyperbolic spaces

fold of infinite dimensional hyperbolic space is either totally geodesic, or finite ... [Te2] _,. Convexity theorem for isoparametric submanifolds, Invent. Math.

PROPER FREDHOLM SUBMANIFOLDS OF HILBERT SPACE

Starting from §6, we assume M is isoparametric, and prove that the finite dimensional isoparametric theory can be generalized to this infinite dimensional ...

Connectivity properties of moment maps on based loop groups

tool used here is Morse theory in infinite dimensions. ... [28] C-L Terng, Convexity theorem for infinite-dimensional isoparametric submanifolds,.