메뉴 건너뛰기




Volumn 8, Issue 2, 1998, Pages 283-303

Bounded and L2 harmonic forms on universal covers

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0032222149     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000390050057     Document Type: Article
Times cited : (12)

References (25)
  • 1
    • 0002951048 scopus 로고
    • Elliptic operators, discrete groups, and von Neumann algebras
    • M.F. ATIYAH, Elliptic operators, discrete groups, and von Neumann algebras, Asterisque 32-33 (1976), 43-72.
    • (1976) Asterisque , vol.32-33 , pp. 43-72
    • Atiyah, M.F.1
  • 2
    • 0013479551 scopus 로고
    • Applications de la formule de Gauss-Bonnet-Chern aux variétés à quatre dimensions
    • A. AVEZ, Applications de la formule de Gauss-Bonnet-Chern aux variétés à quatre dimensions, C.R. Acad. Sc. Paris 256 (1963), 5488-5490.
    • (1963) C.R. Acad. Sc. Paris , vol.256 , pp. 5488-5490
    • Avez, A.1
  • 3
    • 0002524069 scopus 로고
    • Behavior of diffusion semigroups at infinity
    • R. AZENCOTT, Behavior of diffusion semigroups at infinity, Bull. Math. Soc. France 102 (1974), 193-240.
    • (1974) Bull. Math. Soc. France , vol.102 , pp. 193-240
    • Azencott, R.1
  • 4
    • 0002998077 scopus 로고
    • Un critére de non-explosion pour certaines diffusions sur une variété Riemannienne compléte
    • D. BAKRY, Un critére de non-explosion pour certaines diffusions sur une variété Riemannienne compléte, C.R. Acad. Sc. Paris 303 (1986), 23-26.
    • (1986) C.R. Acad. Sc. Paris , vol.303 , pp. 23-26
    • Bakry, D.1
  • 5
    • 51249184003 scopus 로고
    • The fundamental group and the spectrum of the Laplacian
    • R. BROOKS, The fundamental group and the spectrum of the Laplacian, Comment. Math. Helv. 56 (1981), 581-598.
    • (1981) Comment. Math. Helv. , vol.56 , pp. 581-598
    • Brooks, R.1
  • 6
    • 0001123307 scopus 로고
    • Geometric aspects of diffusions on manifolds
    • P.L. Hennequm, ed., Springer-Verlag, Berlin
    • K.D. ELWORTHY, Geometric aspects of diffusions on manifolds, Ècole d''Ete de Probabilitès de Saint-Flour XV-XVII (P.L. Hennequm, ed.), Springer-Verlag, Berlin, 1988, pp. 277-425.
    • (1988) Ècole d''Ete de Probabilitès de Saint-Flour XV-XVII , pp. 277-425
    • Elworthy, K.D.1
  • 7
    • 0000031706 scopus 로고
    • Formulae for the derivatives of heat semigroups
    • K.D. ELWORTHY, X.-M. LI, Formulae for the derivatives of heat semigroups, J. Functional Analysis 125 (1994), 252-286.
    • (1994) J. Functional Analysis , vol.125 , pp. 252-286
    • Elworthy, K.D.1    Li, X.-M.2
  • 8
    • 0013553439 scopus 로고
    • Generalized Bochner theorems and the spectrum of complete manifolds
    • K.D. ELWORTHY, S. ROSENBERG, Generalized Bochner theorems and the spectrum of complete manifolds, Acta Appl. Math. 12 (1988), 1-33.
    • (1988) Acta Appl. Math. , vol.12 , pp. 1-33
    • Elworthy, K.D.1    Rosenberg, S.2
  • 9
    • 0013512582 scopus 로고
    • Manifolds with wells of negative Ricci curvature
    • K.D. ELWORTHY, S. ROSENBERG, Manifolds with wells of negative Ricci curvature, Inventiones Math. 103 (1991), 471-495.
    • (1991) Inventiones Math. , vol.103 , pp. 471-495
    • Elworthy, K.D.1    Rosenberg, S.2
  • 10
    • 84972529251 scopus 로고
    • The Witten Laplacian on negatively curved simply connected manifolds
    • K.D. ELWORTHY, S. ROSENBERG, The Witten Laplacian on negatively curved simply connected manifolds, Tokyo J. Math. 16:2 (1993), 513-524.
    • (1993) Tokyo J. Math. , vol.16 , Issue.2 , pp. 513-524
    • Elworthy, K.D.1    Rosenberg, S.2
  • 11
    • 0030543541 scopus 로고    scopus 로고
    • Homotopy and homology vanishing theorems and the stability of stochastic flows
    • K.D. ELWORTHY, S. ROSENBERG, Homotopy and homology vanishing theorems and the stability of stochastic flows, Geometric And Functional Analysis 6 (1996), 51-78.
    • (1996) Geometric and Functional Analysis , vol.6 , pp. 51-78
    • Elworthy, K.D.1    Rosenberg, S.2
  • 12
    • 0002530893 scopus 로고
    • The conservation property of the heat equation on Riemannian manifolds
    • M.P. GAFFNEY, The conservation property of the heat equation on Riemannian manifolds, Comm. Pure Appl. Math. 12 (1959), 1-11.
    • (1959) Comm. Pure Appl. Math. , vol.12 , pp. 1-11
    • Gaffney, M.P.1
  • 13
    • 0000129897 scopus 로고
    • Opérateur de courbure et laplacien des formes différentielles d'une vairété Riemannienne
    • S. GALLOT, D. MEYER, Opérateur de courbure et Laplacien des formes différentielles d'une vairété Riemannienne, J. Math. Pures et Appl. 54 (1975), 259-284.
    • (1975) J. Math. Pures et Appl. , vol.54 , pp. 259-284
    • Gallot, S.1    Meyer, D.2
  • 15
    • 0001408393 scopus 로고
    • On stable currents and their applications to global problems in real and complex geometry
    • H.B. LAWSON, JR., J. SIMONS, On stable currents and their applications to global problems in real and complex geometry, Annals of Math. 98 (1973), 427-450.
    • (1973) Annals of Math. , vol.98 , pp. 427-450
    • Lawson H.B., Jr.1    Simons, J.2
  • 17
    • 0013555422 scopus 로고
    • On extension of Myers' theorem
    • X.-M. LI, On extension of Myers' theorem, Bull. London Math. Soc. 27 (1995), 392-396.
    • (1995) Bull. London Math. Soc. , vol.27 , pp. 392-396
    • Li, X.-M.1
  • 18
    • 84972541080 scopus 로고
    • Function theory, random paths and covering spaces
    • T. LYONS, D. SULLIVAN, Function theory, random paths and covering spaces, J. Differential Geometry 19 (1984), 299-323.
    • (1984) J. Differential Geometry , vol.19 , pp. 299-323
    • Lyons, T.1    Sullivan, D.2
  • 19
    • 84972517072 scopus 로고
    • An upper bound for the spectrum of Δ on a manifold of negative curvature
    • H. MCKEAN, An upper bound for the spectrum of Δ on a manifold of negative curvature, J. Differential Geometry 4 (1970), 359-366.
    • (1970) J. Differential Geometry , vol.4 , pp. 359-366
    • Mckean, H.1
  • 20
    • 0001275934 scopus 로고
    • Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes
    • M. MICALLEF, J.D. MOORE, Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes, Annals of Math. 87 (1988), 199-227.
    • (1988) Annals of Math. , vol.87 , pp. 199-227
    • Micallef, M.1    Moore, J.D.2
  • 21
    • 0000592987 scopus 로고
    • The second variation of area of minimal surfaces in four manifolds
    • M. MICALLEF, J. WOLFSON, The second variation of area of minimal surfaces in four manifolds, Math. Annalen 295 (1995), 245-267.
    • (1995) Math. Annalen , vol.295 , pp. 245-267
    • Micallef, M.1    Wolfson, J.2
  • 23
    • 84972546625 scopus 로고
    • On the fundamental group of manifolds of almost positive Ricci curvature
    • S. ROSENBERG, D. YANG, On the fundamental group of manifolds of almost positive Ricci curvature, J. Math. Soc. Japan 46 (1994), 267-288.
    • (1994) J. Math. Soc. Japan , vol.46 , pp. 267-288
    • Rosenberg, S.1    Yang, D.2
  • 24
    • 0000518405 scopus 로고
    • Supersymmetry and Morse theory
    • E. WITTEN, Supersymmetry and Morse theory, J. Differential Geometry 121 (1985), 169-186.
    • (1985) J. Differential Geometry , vol.121 , pp. 169-186
    • Witten, E.1
  • 25
    • 84980178548 scopus 로고
    • Harmonic functions on complete Riemannian manifolds
    • S.-T. YAU, Harmonic functions on complete Riemannian manifolds, Comm. Pure and Applied Math. 38 (1975), 201-228.
    • (1975) Comm. Pure and Applied Math. , vol.38 , pp. 201-228
    • Yau, S.-T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.