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Volumn 136, Issue 8, 2008, Pages 2937-2941

A short proof of Gromov's filling inequality

Author keywords

Isoperimetric inequality; Lipschitz chains; Systolic inequality

Indexed keywords


EID: 55249096607     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-08-09203-4     Document Type: Article
Times cited : (38)

References (4)
  • 1
    • 0000106687 scopus 로고    scopus 로고
    • Currents in metric spaces
    • MR1794185 2001k:49095
    • L. Ambrosio, B. Kirchheim: Currents in metric spaces, Acta Math. 185 (2000), no. 1, 1-80. MR1794185 (2001k:49095)
    • (2000) Acta Math. , vol.185 , Issue.1 , pp. 1-80
    • Ambrosio, L.1    Kirchheim, B.2
  • 2
    • 84956267209 scopus 로고
    • Filling Riemannian manifolds
    • MR697984 85h:53029
    • M. Gromov: Filling Riemannian manifolds, J. Differential Geom. 18 (1983), no. 1, 1-147. MR697984 (85h:53029)
    • (1983) J. Differential Geom. , vol.18 , Issue.1 , pp. 1-147
    • Gromov, M.1
  • 3
    • 84966252260 scopus 로고
    • Rectifiable metric spaces: Local structure and regularity of the Hausdorff measure
    • MR1189747 94g:28013
    • B. Kirchheim: Rectifiable metric spaces: local structure and regularity of the Hausdorff measure, Proc. Amer. Math. Soc. 121 (1994), no. 1, 113-123. MR1189747 (94g:28013)
    • (1994) Proc. Amer. Math. Soc. , vol.121 , Issue.1 , pp. 113-123
    • Kirchheim, B.1
  • 4
    • 23744450926 scopus 로고    scopus 로고
    • Isoperimetric inequalities of Euclidean type in metric spaces
    • DOI 10.1007/s00039-005-0515-x
    • S. Wenger: Isoperimetric inequalities of Euclidean type in metric spaces, Geom. Funct. Anal. 15 (2005), no. 2, 534-554. MR2153909 (2006d:53039) (Pubitemid 41124606)
    • (2005) Geometric and Functional Analysis , vol.15 , Issue.2 , pp. 534-554
    • Wenger, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.