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Volumn 44, Issue 4, 2013, Pages 529-540

A zoo of diffeomorphism groups on ℝn

Author keywords

Convenient calculus; Diffeomorphism group; Infinite dimensional regular Lie group

Indexed keywords


EID: 84885219666     PISSN: 0232704X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10455-013-9380-2     Document Type: Article
Times cited : (34)

References (23)
  • 1
    • 84878114701 scopus 로고    scopus 로고
    • Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group
    • doi: 10. 1007/s10455-012-9353-x
    • Bauer, M., Bruveris, M., Harms, P., Michor, P. W.: Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. Ann. Global Anal. Geom. (2012). doi: 10. 1007/s10455-012-9353-x.
    • (2012) Ann. Global Anal. Geom.
    • Bauer, M.1    Bruveris, M.2    Harms, P.3    Michor, P.W.4
  • 2
    • 84857458962 scopus 로고    scopus 로고
    • Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation
    • Bauer, M., Bruveris, M., Harms, P., Michor, P. W.: Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation. Ann. Global Anal. Geom. 41(4), 461-472 (2012).
    • (2012) Ann. Global Anal. Geom. , vol.41 , Issue.4 , pp. 461-472
    • Bauer, M.1    Bruveris, M.2    Harms, P.3    Michor, P.W.4
  • 5
    • 0001666357 scopus 로고
    • Note sur une nouvelle formule du calcul différentielle
    • Faà di Bruno, C. F.: Note sur une nouvelle formule du calcul différentielle. Quart. J. Math. 1, 359-360 (1855).
    • (1855) Quart. J. Math. , vol.1 , pp. 359-360
    • Faà Di Bruno, C.F.1
  • 7
    • 33644657756 scopus 로고    scopus 로고
    • Lectures on diffeomorphism groups in quantum physics
    • World Science Publication, Hackensack
    • Gerald A. G: Lectures on diffeomorphism groups in quantum physics. In: Contemporary problems in mathematical physics, pp 3-93. World Science Publication, Hackensack (2004).
    • (2004) Contemporary problems in mathematical physics , pp. 3-93
    • Gerald, A.G.1
  • 9
    • 21744455992 scopus 로고    scopus 로고
    • Regular infinite-dimensional Lie groups
    • Kriegl, A., Michor, P. W.: Regular infinite-dimensional Lie groups. J. Lie Theory 7(1), 61-99 (1997).
    • (1997) J. Lie Theory , vol.7 , Issue.1 , pp. 61-99
    • Kriegl, A.1    Michor, P.W.2
  • 10
    • 84888307423 scopus 로고    scopus 로고
    • Sobolev metrics on diffeomorphism groups and the derived geometry of spaces of submanifolds
    • to appear
    • Micheli, M., Michor, P. W., Mumford, D.: Sobolev metrics on diffeomorphism groups and the derived geometry of spaces of submanifolds. Izvestiya: Mathematics, to appear (2012).
    • (2012) Izvestiya: Mathematics
    • Micheli, M.1    Michor, P.W.2    Mumford, D.3
  • 11
    • 0009148016 scopus 로고
    • A convenient setting for differential geometry and global analysis
    • Michor, P. W.: A convenient setting for differential geometry and global analysis. Cahiers Topologie Géom. Différentielle 25(1), 63-109 (1984).
    • (1984) Cahiers Topologie Géom. Différentielle , vol.25 , Issue.1 , pp. 63-109
    • Michor, P.W.1
  • 12
    • 0009148016 scopus 로고
    • A convenient setting for differential geometry and global analysis. II
    • Michor, P. W.: A convenient setting for differential geometry and global analysis. II. Cahiers Topologie Géom. Différentielle 25(2), 113-178 (1984).
    • (1984) Cahiers Topologie Géom. Différentielle , vol.25 , Issue.2 , pp. 113-178
    • Michor, P.W.1
  • 15
    • 0040381643 scopus 로고
    • Manifolds of differentiable mappings
    • Orpington
    • Michor, P. W.: Manifolds of differentiable mappings. Shiva Mathematics Series 3, Orpington (1980).
    • (1980) Shiva Mathematics Series , vol.3
    • Michor, P.W.1
  • 16
    • 0011660428 scopus 로고
    • Manifolds of smooth maps II: The Lie group of diffeomorphisms of a non compact smooth manifold
    • Michor, P. W.: Manifolds of smooth maps II: The Lie group of diffeomorphisms of a non compact smooth manifold. Cahiers Topologie Géom. Différentielle 21, 63-86 (1980).
    • (1980) Cahiers Topologie Géom. Différentielle , vol.21 , pp. 63-86
    • Michor, P.W.1
  • 17
    • 0001335921 scopus 로고
    • Remarks on infinite-dimensional Lie groups
    • North-Holland, Amsterdam
    • Milnor, J.: Remarks on infinite-dimensional Lie groups. In: Relativity, groups and topology, II (Les Houches, 1983), pp. 1007-1057. North-Holland, Amsterdam (1984).
    • (1984) Relativity, groups and topology, II (Les Houches, 1983) , pp. 1007-1057
    • Milnor, J.1
  • 19
    • 84972540546 scopus 로고
    • On regular Fréchet Lie groups IV. Definitions and fundamental theorems
    • Omori, H., Maeda, Y., Yoshioka, A.: On regular Fréchet Lie groups IV. Definitions and fundamental theorems. Tokyo J. Math. 5, 365-398 (1982).
    • (1982) Tokyo J. Math. , vol.5 , pp. 365-398
    • Omori, H.1    Maeda, Y.2    Yoshioka, A.3
  • 20
    • 84972541729 scopus 로고
    • On regular Fréchet Lie groups V. Several basic properties
    • Omori, H., Maeda, Y., Yoshioka, A.: On regular Fréchet Lie groups V. Several basic properties. Tokyo J. Math. 6, 39-64 (1983).
    • (1983) Tokyo J. Math. , vol.6 , pp. 39-64
    • Omori, H.1    Maeda, Y.2    Yoshioka, A.3
  • 23
    • 84859300159 scopus 로고    scopus 로고
    • Weighted diffeomorphism groups of Banach spaces and weighted mapping groups
    • Walter, B.: Weighted diffeomorphism groups of Banach spaces and weighted mapping groups. Diss. Math. (Rozprawy Mat.) 484, 128 (2012).
    • (2012) Diss. Math. (Rozprawy Mat.) , vol.484 , pp. 128
    • Walter, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.