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Volumn 254, Issue 7, 2008, Pages 1974-1987

Non-existence of infinitesimally invariant measures on loop groups

Author keywords

Invariant measures; Loop groups; Ricci positivity

Indexed keywords


EID: 39849108749     PISSN: 00221236     EISSN: 10960783     Source Type: Journal    
DOI: 10.1016/j.jfa.2007.11.019     Document Type: Article
Times cited : (3)

References (7)
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    • 33749267274 scopus 로고    scopus 로고
    • Quasi-invariance of Brownian measures on the group of circle homeomorphisms and infinite-dimensional Riemannian geometry
    • H. Airault P. Malliavin Quasi-invariance of Brownian measures on the group of circle homeomorphisms and infinite-dimensional Riemannian geometry J. Funct. Anal. 241 2006 99 142
    • (2006) J. Funct. Anal. , vol.241 , pp. 99-142
    • Airault, H.1    Malliavin, P.2
  • 2
    • 85120245170 scopus 로고    scopus 로고
    • A.-B. Cruzeiro, P. Malliavin, Nonergodicity of Euler fluid dynamics on tori versus positivity of the Arnold–Ricci tensor, J. Funct. Anal. (2008), doi: 10.1016/j.jfa.2007.08.002 , in press
  • 3
    • 0030587376 scopus 로고    scopus 로고
    • Logarithmic Sobolev inequalities for Pinned Loop groups
    • B. Driver T. Lohrenz Logarithmic Sobolev inequalities for Pinned Loop groups J. Funct. Anal. 140 1996 381 448
    • (1996) J. Funct. Anal. , vol.140 , pp. 381-448
    • Driver, B.1    Lohrenz, T.2
  • 4
    • 0031571532 scopus 로고    scopus 로고
    • De Rham–Hodge–Kodaira operator on loop groups
    • S. Fang J. Franchi De Rham–Hodge–Kodaira operator on loop groups J. Funct. Anal. 148 1997 391 407
    • (1997) J. Funct. Anal. , vol.148 , pp. 391-407
    • Fang, S.1    Franchi, J.2
  • 5
    • 84972518061 scopus 로고
    • The geometry of loop groups
    • D.S. Freed The geometry of loop groups J. Differential Geom. 28 1988 155 172
    • (1988) J. Differential Geom. , vol.28 , pp. 155-172
    • Freed, D.S.1
  • 7
    • 85120256610 scopus 로고    scopus 로고
    • A Kähler metric on based loop group and a covariant differentiation
    • I. Shigekawa S. Taniguchi A Kähler metric on based loop group and a covariant differentiation W. Ikeda S. Watanabe M. Fukushima H. Kunita Itô Stochastic Calculus and Probability Theory 1996 Springer Tokyo 327 347
    • (1996) , pp. 327-347
    • Shigekawa, I.1    Taniguchi, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.