Hilbert flag varieties and their Kähler structure

G.F. Helminck; A.G. Helminck; A.G. Helminck

Hilbert flag varieties and their Kähler structure

G.F. Helminck, A.G. Helminck, A.G. Helminck

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4 Citations (Scopus)

157 Downloads (Pure)

Abstract

In this paper we introduce the infinite-dimensional flag varieties associated with integrable systems of the $KdV$- and $Toda$-type and we discuss the structure of these manifolds. As an example we treat the Fubini-Study metric on the projective space associated with a separable complex Hilbert space and we conclude by showing that all flag varieties introduced before possess a K\"{a}hler structure.

Original language	Undefined
Place of Publication	Enschede
Publisher	University of Twente, Department of Applied Mathematics
Number of pages	20
ISBN (Print)	0169-2690
Publication status	Published - 2002

Publication series

Name	Memorandum Faculty Mathematical Sciences
Publisher	University of Twente, Department of Applied Mathematics
No.	1667
ISSN (Print)	0169-2690

Keywords

IR-65853
MSC-14M15
MSC-43A80
MSC-35Q58
MSC-22E65
MSC-53B35
EWI-3487
METIS-208646

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Cite this

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AU - Helminck, A.G.

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Y1 - 2002

N2 - In this paper we introduce the infinite-dimensional flag varieties associated with integrable systems of the $KdV$- and $Toda$-type and we discuss the structure of these manifolds. As an example we treat the Fubini-Study metric on the projective space associated with a separable complex Hilbert space and we conclude by showing that all flag varieties introduced before possess a K\"{a}hler structure.

AB - In this paper we introduce the infinite-dimensional flag varieties associated with integrable systems of the $KdV$- and $Toda$-type and we discuss the structure of these manifolds. As an example we treat the Fubini-Study metric on the projective space associated with a separable complex Hilbert space and we conclude by showing that all flag varieties introduced before possess a K\"{a}hler structure.

KW - IR-65853

KW - MSC-14M15

KW - MSC-43A80

KW - MSC-35Q58

KW - MSC-22E65

KW - MSC-53B35

KW - EWI-3487

KW - METIS-208646

M3 - Report

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T3 - Memorandum Faculty Mathematical Sciences

BT - Hilbert flag varieties and their Kähler structure

PB - University of Twente, Department of Applied Mathematics

CY - Enschede

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