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Volumn 126, Issue 9, 1998, Pages 2779-2787

The sharp sobolev inequality and the banchoff-pohl inequality on surfaces

Author keywords

Banchoff pohl inequality; Isoperimetric inequalities; Sobolev inequalities

Indexed keywords


EID: 22044437915     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-98-04336-6     Document Type: Article
Times cited : (24)

References (16)
  • 1
    • 84972506295 scopus 로고
    • A generalization of the isoperimetric inequality
    • MR 40:4449
    • T. F. Banchoff and W. F. Pohl, A generalization of the isoperimetric inequality, Jour. Diff. Geo. 6 (1971), 175-213. MR 40:4449
    • (1971) Jour. Diff. Geo. , vol.6 , pp. 175-213
    • Banchoff, T.F.1    Pohl, W.F.2
  • 2
    • 0011361905 scopus 로고
    • Geometric inequalities
    • Springer, Berlin, MR 89b:52020
    • J. D. Burago and V. A. Zalgaller, Geometric inequalities, Grundlehren, vol. 285, Springer, Berlin, 1980. MR 89b:52020
    • (1980) Grundlehren , vol.285
    • Burago, J.D.1    Zalgaller, V.A.2
  • 3
    • 0003331256 scopus 로고
    • Eigenvalues in Riemannian geometry
    • Academic Press, New York, MR 86g:58140
    • I. Chavel, Eigenvalues in Riemannian geometry, Pure and Applied Mathematics, vol. 115, Academic Press, New York, 1984. MR 86g:58140
    • (1984) Pure and Applied Mathematics , vol.115
    • Chavel, I.1
  • 4
    • 84966242482 scopus 로고
    • A generalization of the isoperimetric inequality on S2 and flat tori in S3
    • MR 94d:53001
    • K. Enomoto, A generalization of the isoperimetric inequality on S2 and flat tori in S3, Proc. Amer. Math. Soc. 120 (1994), no. 2, 553-558. MR 94d:53001
    • (1994) Proc. Amer. Math. Soc. , vol.120 , Issue.2 , pp. 553-558
    • Enomoto, K.1
  • 5
    • 0000562793 scopus 로고
    • Noraml and integral currents
    • MR 23:A588
    • H. Federer and W. H. Fleming, Noraml and integral currents, Ann. Math. 72 (1960), 458-520. MR 23:A588
    • (1960) Ann. Math. , vol.72 , pp. 458-520
    • Federer, H.1    Fleming, W.H.2
  • 6
    • 0001008594 scopus 로고
    • An integral formula for the total gradient variation
    • MR 22:5710
    • W. Fleming and R. Rishel, An integral formula for the total gradient variation, Arch. Math. 11 (1960), 218-222. MR 22:5710
    • (1960) Arch. Math. , vol.11 , pp. 218-222
    • Fleming, W.1    Rishel, R.2
  • 7
    • 84966212854 scopus 로고
    • The isoperimetric inequality for nonsimple closed curves
    • MR 93f:53063
    • L. Gysin, The isoperimetric inequality for nonsimple closed curves, Proc. Amer. Math. Soc 118 (1993), no. 1, 197-203. MR 93f:53063
    • (1993) Proc. Amer. Math. Soc , vol.118 , Issue.1 , pp. 197-203
    • Gysin, L.1
  • 8
    • 0000190919 scopus 로고
    • The isoperimetric inequality
    • MR 58:18161
    • R. Osserman, The isoperimetric inequality, Bull. Amer. Math. Soc. 84 (1978), no. 6, 1182-1238. MR 58:18161
    • (1978) Bull. Amer. Math. Soc. , vol.84 , Issue.6 , pp. 1182-1238
    • Osserman, R.1
  • 10
    • 33646754638 scopus 로고
    • A generalization of the isoperimetric inequality in the hyperbolic plane
    • MR 92j:52015
    • E. Teufel, A generalization of the isoperimetric inequality in the hyperbolic plane, Arch. Math. 57 (1991), no. 5, 508-513. MR 92j:52015
    • (1991) Arch. Math. , vol.57 , Issue.5 , pp. 508-513
    • Teufel, E.1
  • 11
    • 33646734398 scopus 로고
    • Isoperimetric inequalities for closed curves in spaces of constant curvature
    • MR 93h:53073
    • _, Isoperimetric inequalities for closed curves in spaces of constant curvature, Results Math. 22 (1992), 622-630. MR 93h:53073
    • (1992) Results Math. , vol.22 , pp. 622-630
  • 12
    • 33646733556 scopus 로고
    • On integral geometry in Riemannian spaces
    • MR 94f:53127
    • _, On integral geometry in Riemannian spaces, Abh. Math. Sem. Univ. Hamburg 63 (1993), no. 2, 17-27. MR 94f:53127
    • (1993) Abh. Math. Sem. Univ. Hamburg , vol.63 , Issue.2 , pp. 17-27
  • 13
    • 33646735700 scopus 로고
    • A generalization of the isoperimetric inequality on the 2-sphere
    • MR 52:1584
    • J. L. Weiner, A generalization of the isoperimetric inequality on the 2-sphere, Indiana Univ. Math. Jour. 24 (1974), 243-248. MR 52:1584
    • (1974) Indiana Univ. Math. Jour. , vol.24 , pp. 243-248
    • Weiner, J.L.1
  • 14
    • 84966231313 scopus 로고
    • Isoperimetric inequalities for immersed closed spherical curves
    • MR 94d:53003
    • _, Isoperimetric inequalities for immersed closed spherical curves, Proc. Amer. Math. Soc. 120 (1994), no. 2, 501-506. MR 94d:53003
    • (1994) Proc. Amer. Math. Soc. , vol.120 , Issue.2 , pp. 501-506
  • 15
    • 0000100131 scopus 로고
    • Isoperimetric constants and the first eigenvalue of a compact manifold
    • Paris MR 53:1478
    • S. T. Yau, Isoperimetric constants and the first eigenvalue of a compact manifold, Ann. Sei. EC. Norm. Super., Paris (4) 8 (1975), 487-507. MR 53:1478
    • (1975) Ann. Sei. EC. Norm. Super. , vol.4 , Issue.8 , pp. 487-507
    • Yau, S.T.1
  • 16
    • 0003320027 scopus 로고
    • Weakly differentiate functions
    • Springer-Verlag, New York, MR 91e:46046
    • W. P. Ziemer, Weakly differentiate functions, Graduate Texts in Mathematics, vol. 120, Springer-Verlag, New York, 1989. MR 91e:46046
    • (1989) Mathematics , vol.120
    • Ziemer, W.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.