A. A. Kirillov, D. V. Yur'ev, “Kähler geometry of the infinite-dimensional homogeneous manifold $M=\operatorname{Diff}_+(S^1)/\operatorname{Rot}(S^1)$”, Funktsional. Anal. i Prilozhen., 20:4 (1986), 79–80; Funct. Anal. Appl., 20:4 (1986), 322

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Funktsional'nyi Analiz i ego Prilozheniya, 1986, Volume 20, Issue 4, Pages 79–80 (Mi faa1322)

This article is cited in 11 scientific papers (total in 11 papers)

Brief communications

Kähler geometry of the infinite-dimensional homogeneous manifold

M = {Diff}_{+} (S^{1}) / Rot (S^{1})

$M=\operatorname{Diff}_+(S^1)/\operatorname{Rot}(S^1)$

A. A. Kirillov, D. V. Yur'ev

Full-text PDF (267 kB) Citations (11)

References:

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Received: 23.06.1986

English version:
Functional Analysis and Its Applications, 1986, Volume 20, Issue 4, Pages 322–324
DOI: https://doi.org/10.1007/BF01083503

Bibliographic databases:

Document Type: Article

UDC: 514.76+517.98

Language: Russian

Citation: A. A. Kirillov, D. V. Yur'ev, “Kähler geometry of the infinite-dimensional homogeneous manifold

M = {Diff}_{+} (S^{1}) / Rot (S^{1})

$M=\operatorname{Diff}_+(S^1)/\operatorname{Rot}(S^1)$ ”, Funktsional. Anal. i Prilozhen., 20:4 (1986), 79–80; Funct. Anal. Appl., 20:4 (1986), 322–324

Citation in format AMSBIB

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\by A.~A.~Kirillov, D.~V.~Yur'ev

\paper K\"ahler geometry of the infinite-dimensional homogeneous manifold $M=\operatorname{Diff}_+(S^1)/\operatorname{Rot}(S^1)$

\jour Funktsional. Anal. i Prilozhen.

\yr 1986

\vol 20

\issue 4

\pages 79--80

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\zmath{https://zbmath.org/?q=an:0644.53060}

\transl

\jour Funct. Anal. Appl.

\yr 1986

\vol 20

\issue 4

\pages 322--324

\crossref{https://doi.org/10.1007/BF01083503}

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Linking options:

https://www.mathnet.ru/eng/faa1322

https://www.mathnet.ru/eng/faa/v20/i4/p79

This publication is cited in the following 11 articles:

Paul Malliavin, “Invariant or quasi-invariant probability measures for infinite dimensional groups”, Jpn. J. Math., 3:1 (2008), 19
Yu. A. Neretin, “On the Separation of Spectra in the Analysis of Berezin Kernels”, Funct. Anal. Appl., 34:3 (2000), 197–207
G. Besson, G. Courtois, S. Gallot, “Entropies et rigidités des espaces localement symétriques de courbure strictement négative”, Geometric and Functional Analysis, 5:5 (1995), 731
Osmo Pekonen, “Universal Teichmüller space in geometry and physics”, Journal of Geometry and Physics, 15:3 (1995), 227
D.V. Juriev, “Infinite dimensional geometry and quantum field theory of strings. III. Infinite dimensional W-geometry of a second quantized free string”, Journal of Geometry and Physics, 16:3 (1995), 275
A. D. Popov, “Geometric quantization of strings and reparametrization invariance”, Theoret. and Math. Phys., 83:3 (1990), 608–619
Osmo Pekonen, “Quasidisks and string theory”, Physics Letters B, 252:4 (1990), 555
Subhashis Nag, Alberto Verjovsky, “Diff (S 1) and the Teichmüller spaces”, Commun.Math. Phys., 130:1 (1990), 123
D. V. Yur'ev, “Non-Euclidean geometry of mirrors and prequantization on the homogeneous Kähler manifold $M=\operatorname{Diff}_+(S^1)/\operatorname{Rot}(S^1)$ ”, Russian Math. Surveys, 43:2 (1988), 187–188
Edward Witten, “Coadjoint orbits of the Virasoro group”, Commun.Math. Phys., 114:1 (1988), 1
A. A. Kirillov, D. V. Yur'ev, “Kähler geometry of the infinite-dimensional homogeneous space $M=\operatorname{Diff}_+(S^1)/\operatorname{Rot}(S^1)$ ”, Funct. Anal. Appl., 21:4 (1987), 284–294

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Functional Analysis and Its Applications

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