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Volumn 11, Issue 2, 1999, Pages 129-143

Tits geometry of cocompact real-analytic Hadamard manifolds of dimension 4

Author keywords

Higher rank subspaces; Homogeneous spaces; Nonpositive curvature; Tits geometry

Indexed keywords


EID: 0033196738     PISSN: 09262245     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0926-2245(99)00025-X     Document Type: Article
Times cited : (4)

References (12)
  • 2
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    • Structure of manifolds of nonpositive curvature I
    • W. Ballmann, M. Brin and P. Eberlein, Structure of manifolds of nonpositive curvature I, Ann. Math. 122 (1985) 171-203.
    • (1985) Ann. Math. , vol.122 , pp. 171-203
    • Ballmann, W.1    Brin, M.2    Eberlein, P.3
  • 4
    • 0000740909 scopus 로고
    • Existence of flat tori in analytic manifolds of nonpositive curvature
    • V. Bangert and V. Schroeder, Existence of flat tori in analytic manifolds of nonpositive curvature, Ann. Sci. ÉCole Norm. Sup. 24 (1991) 605-634.
    • (1991) Ann. Sci. ÉCole Norm. Sup. , vol.24 , pp. 605-634
    • Bangert, V.1    Schroeder, V.2
  • 6
    • 84966224431 scopus 로고
    • Visibility and rank one in homogeneous spaces of K ≤ 0
    • M. Druetta, Visibility and rank one in homogeneous spaces of K ≤ 0, Trans. Am. Math. Soc. 304 (1987) 307-321.
    • (1987) Trans. Am. Math. Soc. , vol.304 , pp. 307-321
    • Druetta, M.1
  • 8
    • 0000545732 scopus 로고
    • On the geometric rank of homogeneous spaces of nonpositive curvature
    • J. Heber, On the geometric rank of homogeneous spaces of nonpositive curvature, Invent. Math. 112 (1993) 151-170.
    • (1993) Invent. Math. , vol.112 , pp. 151-170
    • Heber, J.1
  • 9
    • 0032033948 scopus 로고    scopus 로고
    • Tits geometry associated with 4-dimensional closed real-analytic manifolds of nonpositive curvature
    • C. Hummel and V. Schroeder, Tits geometry associated with 4-dimensional closed real-analytic manifolds of nonpositive curvature, J. Diff. Geom 48 (1998) 531-555.
    • (1998) J. Diff. Geom , vol.48 , pp. 531-555
    • Hummel, C.1    Schroeder, V.2
  • 10
    • 0003311802 scopus 로고
    • Semi-Riemannian geometry with applications to relativity
    • Academic Press, New York
    • B. O'Neill, Semi-Riemannian geometry with applications to relativity, Pure and Applied Mathematics 103 (Academic Press, New York, 1983).
    • (1983) Pure and Applied Mathematics , vol.103
    • O'Neill, B.1
  • 11
    • 0002185864 scopus 로고
    • Structure of flat subspaces in low-dimensional manifolds of nonpositive curvature
    • V. Schroeder, Structure of flat subspaces in low-dimensional manifolds of nonpositive curvature, Manuscripta Math. 64 (1989) 77-105.
    • (1989) Manuscripta Math. , vol.64 , pp. 77-105
    • Schroeder, V.1
  • 12
    • 0002245891 scopus 로고
    • Existence of immersed tori in manifolds of nonpositive curvature
    • V. Schroeder, Existence of immersed tori in manifolds of nonpositive curvature, J. Reine Angew. Math. 390 (1988) 32-46.
    • (1988) J. Reine Angew. Math. , vol.390 , pp. 32-46
    • Schroeder, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.