메뉴 건너뛰기




Volumn 5, Issue 2, 1992, Pages 327-372

Nilpotent structures and invariant metrics on collapsed manifolds

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84968509403     PISSN: 08940347     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0894-0347-1992-1126118-X     Document Type: Article
Times cited : (171)

References (29)
  • 1
    • 0039800616 scopus 로고
    • Habilitationsschrift, Reinischen Friedrich-Willhelms-Universität Bonn
    • U. Abresch, Über das glatten Riemannisher metriken, Habilitationsschrift, Reinischen Friedrich-Willhelms-Universität Bonn, 1988.
    • (1988) Über Das Glatten Riemannisher Metriken
    • Abresch, U.1
  • 2
    • 0011261970 scopus 로고
    • Real analyticity of solutions of Hamilton’s equation
    • S. Bando, Real analyticity of solutions of Hamilton’s equation, Math. Z. 195 (1987), 93–97.
    • (1987) Math. Z. , vol.195 , pp. 93-97
    • Bando, S.1
  • 3
    • 0002740155 scopus 로고
    • Smoothing Riemannian metrics
    • J. Bemelmans, Min-Oo, and A. Ruh, Smoothing Riemannian metrics, Math. Z. 188 (1984), 69–74.
    • (1984) Math. Z. , vol.188 , pp. 69-74
    • Bemelmans, J.1    Min-Oo2    Ruh, A.3
  • 4
    • 0002013589 scopus 로고
    • Gromov’s almost flat manifolds
    • P. Buser and H. Karcher, Gromov’s almost flat manifolds, Asterisque 81 (1981), 1–148.
    • (1981) Asterisque , vol.81 , pp. 1-148
    • Buser, P.1    Karcher, H.2
  • 5
    • 0002818931 scopus 로고
    • Finiteness theorems of Riemannian manifolds
    • J. Cheeger, Finiteness theorems of Riemannian manifolds, Amer. J. Math. 92 (1970), 61–74.
    • (1970) Amer. J. Math. , vol.92 , pp. 61-74
    • Cheeger, J.1
  • 6
    • 0001302746 scopus 로고
    • On the characteristic numbers of complete manifolds of bounded curvature and finite volume
    • H. E. Rauch Memorial Volume, Springer-Verlag, Berlin
    • J. Cheeger and M. Gromov, On the characteristic numbers of complete manifolds of bounded curvature and finite volume, Differential geometry and complex analysis, H. E. Rauch Memorial Volume, Springer-Verlag, Berlin, 1985.
    • (1985) Differential Geometry and Complex Analysis
    • Cheeger, J.1    Gromov, M.2
  • 7
    • 84972494180 scopus 로고
    • 2-cohomology and the Gauss-Bonnet theorem for open manifolds
    • 2-cohomology and the Gauss-Bonnet theorem for open manifolds, J. Differential Geom. 21 (1985), 1–31.
    • (1985) J. Differential Geom. , vol.21 , pp. 1-31
    • Cheeger, J.1    Gromov, M.2
  • 8
    • 84972538920 scopus 로고
    • Collapsing Riemannian manifolds while keeping their curvature bounded I
    • ——, Collapsing Riemannian manifolds while keeping their curvature bounded I, J. Differential Geom. 23 (1986), 309–346.
    • (1986) J. Differential Geom. , vol.23 , pp. 309-346
    • Cheeger, J.1    Gromov, M.2
  • 9
    • 84972508732 scopus 로고
    • Collapsing Riemannian manifolds while keeping their curvature bounded II
    • ——, Collapsing Riemannian manifolds while keeping their curvature bounded II, J. Differential Geom. 32 (1990), 269–298.
    • (1990) J. Differential Geom. , vol.32 , pp. 269-298
    • Cheeger, J.1    Gromov, M.2
  • 10
    • 84972541450 scopus 로고
    • Collapsing Riemannian manifolds to ones of lower dimension
    • K. Fukaya, Collapsing Riemannian manifolds to ones of lower dimension, J. Differential Geom. 25 (1987), 139–156.
    • (1987) J. Differential Geom. , vol.25 , pp. 139-156
    • Fukaya, K.1
  • 11
    • 84972579144 scopus 로고
    • Collapsing Riemannian manifolds to ones of lower dimension II
    • ——, Collapsing Riemannian manifolds to ones of lower dimension II, J. Math. Soc. Japan 41 (1989), 333–356.
    • (1989) J. Math. Soc. Japan , vol.41 , pp. 333-356
    • Fukaya, K.1
  • 12
    • 84972535799 scopus 로고
    • A boundary of the set of the Riemannian manifolds with bounded curvatures and diameters
    • ——, A boundary of the set of the Riemannian manifolds with bounded curvatures and diameters, J. Differential Geom. 28 (1988), 1–21.
    • (1988) J. Differential Geom. , vol.28 , pp. 1-21
    • Fukaya, K.1
  • 13
    • 0002639812 scopus 로고
    • Hausdorff convergence of Riemannian manifolds and its applications
    • (T. Ochiai, ed.), Kinokuniya, Tokyo
    • ——, Hausdorff convergence of Riemannian manifolds and its applications, Recent Topics in Differential and Analytic Geometry (T. Ochiai, ed.), Kinokuniya, Tokyo, 1990.
    • (1990) Recent Topics in Differential and Analytic Geometry
    • Fukaya, K.1
  • 14
    • 53149120871 scopus 로고
    • A compactness of a set of aspherical Riemannian orbifolds
    • Tamura Memorial Volume, Academic Press, Boston, MA
    • ——, A compactness of a set of aspherical Riemannian orbifolds, A Fete of Topology, Tamura Memorial Volume, Academic Press, Boston, MA, 1988, pp. 391–413.
    • (1988) A Fete of Topology , pp. 391-413
    • Fukaya, K.1
  • 15
    • 84972491752 scopus 로고
    • Almost nonpositively curved manifolds
    • K. Fukaya and T. Yamaguchi, Almost nonpositively curved manifolds, J. Diferential Geom. 33 (1991), 69–90.
    • (1991) J. Diferential Geom. , vol.33 , pp. 69-90
    • Fukaya, K.1    Yamaguchi, T.2
  • 17
    • 84972521454 scopus 로고
    • Geometric construction of holonomy coverings for almost flat manifolds
    • ——, Geometric construction of holonomy coverings for almost flat manifolds, J. Differential Geom. 34 (1991), 571–579.
    • (1991) J. Differential Geom. , vol.34 , pp. 571-579
    • Ghanaat, P.1
  • 18
    • 0010821913 scopus 로고
    • Local structure of Riemannian manifolds
    • P. Ghanaat, M. Min-oo, and E. Rhu, Local structure of Riemannian manifolds, Indiana Univ. Math. J. 39 (1990), 1305–1312.
    • (1990) Indiana Univ. Math. J. , vol.39 , pp. 1305-1312
    • Ghanaat, P.1    Min-Oo, M.2    Rhu, E.3
  • 19
    • 84972545826 scopus 로고
    • Almost flat manifolds
    • M. Gromov, Almost flat manifolds, J. Differential Geom. 13 (1978), 231–241.
    • (1978) J. Differential Geom. , vol.13 , pp. 231-241
    • Gromov, M.1
  • 20
    • 0002344449 scopus 로고
    • Volume and bounded cohomology
    • ——, Volume and bounded cohomology, Publ. Math. I.H.E.S. 56 (1983), 213–307.
    • (1983) Publ. Math. I.H.E.S. , vol.56 , pp. 213-307
    • Gromov, M.1
  • 23
    • 84972568148 scopus 로고
    • Lipschitz convergence of Riemannian manifolds
    • R. Greene and H. Wu, Lipschitz convergence of Riemannian manifolds, Pacific J. Math. 131 (1988), 119–141.
    • (1988) Pacific J. Math. , vol.131 , pp. 119-141
    • Greene, R.1    Wu, H.2
  • 24
    • 84980162923 scopus 로고
    • Riemannian center of mass and molifer smoothing
    • H. Karcher, Riemannian center of mass and molifer smoothing, Comm. Pure Appl. Math. 30 (1977), 509–541.
    • (1977) Comm. Pure Appl. Math. , vol.30 , pp. 509-541
    • Karcher, H.1
  • 25
    • 0002158912 scopus 로고
    • Convergence of Riemannian manifolds
    • S. Peters, Convergence of Riemannian manifolds, Comp. Math. 62 (1987), 3–16.
    • (1987) Comp. Math. , vol.62 , pp. 3-16
    • Peters, S.1
  • 26
    • 0002064521 scopus 로고
    • Almost flat manifolds
    • E. Ruh, Almost flat manifolds, J. Differential Geom. 17 (1982), 1–14.
    • (1982) J. Differential Geom. , vol.17 , pp. 1-14
    • Ruh, E.1
  • 28
    • 84972510530 scopus 로고
    • Deforming the metric on complete Riemannian manifolds
    • W.-X. Shi, Deforming the metric on complete Riemannian manifolds, J. Differential Geom. 30 (1989), 225–301.
    • (1989) J. Differential Geom. , vol.30 , pp. 225-301
    • Shi, W.-X.1
  • 29
    • 0000269280 scopus 로고
    • Collapsing and pinching in lower curvature bound
    • T. Yamaguchi, Collapsing and pinching in lower curvature bound, Ann. of Math. (2) 133 (1991), 317–357.
    • (1991) Ann. of Math. , vol.133 , Issue.2 , pp. 317-357
    • Yamaguchi, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.