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Volumn 56, Issue 7, 2003, Pages 979-997

Stable Systolic Inequalities and Cohomology Products

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EID: 2442463357     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/cpa.10082     Document Type: Article
Times cited : (25)

References (39)
  • 1
    • 0000127629 scopus 로고
    • Differentials and extremal length on Riemann surfaces
    • Accola, R. D. M. Differentials and extremal length on Riemann surfaces. Proc. Nat. Acad. Sci. USA 46 (1960), 540-543.
    • (1960) Proc. Nat. Acad. Sci. USA , vol.46 , pp. 540-543
    • Accola, R.D.M.1
  • 2
    • 0007229105 scopus 로고
    • Asymptotic invariants of smooth manifolds
    • Babenko, I. K. Asymptotic invariants of smooth manifolds. Izv. Ross. Akad. Nauk Ser. Mat. 56 (1992), no. 4, 707-751; translation in Russian Acad. Sci. Izv. Math. 41 (1993), no. 1, 1-38.
    • (1992) Izv. Ross. Akad. Nauk Ser. Mat. , vol.56 , Issue.4 , pp. 707-751
    • Babenko, I.K.1
  • 3
    • 2442559069 scopus 로고
    • translation
    • Babenko, I. K. Asymptotic invariants of smooth manifolds. Izv. Ross. Akad. Nauk Ser. Mat. 56 (1992), no. 4, 707-751; translation in Russian Acad. Sci. Izv. Math. 41 (1993), no. 1, 1-38.
    • (1993) Russian Acad. Sci. Izv. Math. , vol.41 , Issue.1 , pp. 1-38
  • 4
    • 0038167369 scopus 로고    scopus 로고
    • Forte souplesse intersystolique de variétés fermées et de polyèdres
    • Babenko, I. K. Forte souplesse intersystolique de variétés fermées et de polyèdres. Ann. Inst. Fourier (Grenoble) 52 (2002), no. 4, 1259-1284.
    • (2002) Ann. Inst. Fourier (Grenoble) , vol.52 , Issue.4 , pp. 1259-1284
    • Babenko, I.K.1
  • 5
    • 2442550725 scopus 로고    scopus 로고
    • Loewner's conjecture, Besicovich's example, and relative systolic geometry
    • in press
    • Babenko, I. K. Loewner's conjecture, Besicovich's example, and relative systolic geometry. Mat. Sb. 193 (2002), no. 4, 3-16, in press.
    • (2002) Mat. Sb. , vol.193 , Issue.4 , pp. 3-16
    • Babenko, I.K.1
  • 6
    • 0032210195 scopus 로고    scopus 로고
    • Systolic freedom of orientable manifolds
    • Babenko, I.; Katz, M. Systolic freedom of orientable manifolds. Ann. Sci. École Norm. Sup. (4) 31 (1998), no. 6, 787-809.
    • (1998) Ann. Sci. École Norm. Sup. (4) , vol.31 , Issue.6 , pp. 787-809
    • Babenko, I.1    Katz, M.2
  • 7
    • 0032219338 scopus 로고    scopus 로고
    • Volumes middle-dimensional systoles, and Whitehead products
    • Babenko, I.; Katz, M.; Suciu, A. Volumes, middle-dimensional systoles, and Whitehead products. Math. Res. Lett. 5 (1998), no. 4, 461-471.
    • (1998) Math. Res. Lett. , vol.5 , Issue.4 , pp. 461-471
    • Babenko, I.1    Katz, M.2    Suciu, A.3
  • 8
    • 0000303291 scopus 로고
    • New bounds in some transference theorems in the geometry of numbers
    • Banaszczyk, W. New bounds in some transference theorems in the geometry of numbers. Math. Ann. 296 (1993), no. 4, 625-635.
    • (1993) Math. Ann. , vol.296 , Issue.4 , pp. 625-635
    • Banaszczyk, W.1
  • 9
    • 0030523540 scopus 로고    scopus 로고
    • n. II. Application of K-convexity
    • n. II. Application of K-convexity. Discrete Comput. Geom. 16 (1996), no. 3, 305-311.
    • (1996) Discrete Comput. Geom. , vol.16 , Issue.3 , pp. 305-311
    • Banaszczyk, W.1
  • 11
    • 0007301124 scopus 로고
    • Inégalités isosystoliques conformes pour la bouteille de Klein
    • Bavard, C. Inégalités isosystoliques conformes pour la bouteille de Klein. Geom. Dedicata 27 (1988), no. 3, 349-355.
    • (1988) Geom. Dedicata , vol.27 , Issue.3 , pp. 349-355
    • Bavard, C.1
  • 12
    • 38249022921 scopus 로고
    • Sur un problème de dualité lié aux sphères en géométrie des nombres
    • Bergé, A.-M.; Martinet, J. Sur un problème de dualité lié aux sphères en géométrie des nombres. J. Number Theory 32 (1989), no. 1, 14-42.
    • (1989) J. Number Theory , vol.32 , Issue.1 , pp. 14-42
    • Bergé, A.-M.1    Martinet, J.2
  • 14
    • 0003164986 scopus 로고
    • Systoles et applications selon Gromov
    • Berger, M. Systoles et applications selon Gromov. Astérisque 216 (1993), no. 771, 5, 279-310.
    • (1993) Astérisque , vol.216 , Issue.771 , pp. 5
    • Berger, M.1
  • 15
    • 51249193672 scopus 로고
    • Über Extremallängen auf geschlossenen Flächen
    • Blatter, C. Über Extremallängen auf geschlossenen Flächen. Comment. Math. Helv. 35 (1961), 153-168.
    • (1961) Comment. Math. Helv. , vol.35 , pp. 153-168
    • Blatter, C.1
  • 16
    • 0002282443 scopus 로고
    • On the period matrix of a Riemann surface of large genus
    • Buser, P.; Samak, P. On the period matrix of a Riemann surface of large genus. Invent. Math. 117 (1994), no. 1, 27-56.
    • (1994) Invent. Math. , vol.117 , Issue.1 , pp. 27-56
    • Buser, P.1    Samak, P.2
  • 17
    • 0004258985 scopus 로고
    • Second printing. Die Grundlehren der mathematischen Wissenschaften, 99. Springer, Berlin-New York
    • Cassels, J. W. S. An introduction to the geometry of numbers. Second printing. Die Grundlehren der mathematischen Wissenschaften, 99. Springer, Berlin-New York, 1971.
    • (1971) An Introduction to the Geometry of Numbers
    • Cassels, J.W.S.1
  • 18
    • 0003418232 scopus 로고
    • Die Grundlehren der mathematischen Wissenschaften, 153. Springer, New York
    • Federer, H. Geometric measure theory. Die Grundlehren der mathematischen Wissenschaften, 153. Springer, New York, 1969.
    • (1969) Geometric Measure Theory
    • Federer, H.1
  • 19
    • 0000096917 scopus 로고
    • Real flat chains, cochains, and variational problems
    • Federer, H. Real flat chains, cochains, and variational problems. Indiana Univ. Math. J. 24 (1974/75), 351-407.
    • (1974) Indiana Univ. Math. J. , vol.24 , pp. 351-407
    • Federer, H.1
  • 20
    • 0040892442 scopus 로고    scopus 로고
    • 2-systolic-freedom
    • Geometry and Topology Monographs, 2. Geometry and Topology, Institute of Mathematics, Warwick University, Coventry
    • 2-systolic-freedom. Proceedings of the Kirbyfest (Berkeley, CA, 1998), 113-123. Geometry and Topology Monographs, 2. Geometry and Topology, Institute of Mathematics, Warwick University, Coventry, 1999.
    • (1999) Proceedings of the Kirbyfest (Berkeley, CA, 1998) , pp. 113-123
    • Freedman, M.H.1
  • 22
    • 84956267209 scopus 로고
    • Filling Riemannian manifolds
    • Gromov, M. Filling Riemannian manifolds. J. Differential Geom. 18 (1983), no. 1, 1-147.
    • (1983) J. Differential Geom. , vol.18 , Issue.1 , pp. 1-147
    • Gromov, M.1
  • 23
    • 0001161747 scopus 로고    scopus 로고
    • Systoles and intersystolic inequalities
    • Séminaires et Congrès, 1. Society of Mathematics of France, Institut Henri Poincaré, Paris
    • Gromov, M. Systoles and intersystolic inequalities. Actes de la Table Ronde de Géométrie Différentielle (Luminy, 1992), 291-362. Séminaires et Congrès, 1. Society of Mathematics of France, Institut Henri Poincaré, Paris, 1996.
    • (1996) Actes de la Table Ronde de Géométrie Différentielle (Luminy, 1992) , pp. 291-362
    • Gromov, M.1
  • 25
    • 84972550812 scopus 로고
    • The collars of a Riemannian manifold and stable isosystolic inequalities
    • Hebda, J. J. The collars of a Riemannian manifold and stable isosystolic inequalities. Pacific J. Math. 121 (1986), no. 2, 339-356.
    • (1986) Pacific J. Math. , vol.121 , Issue.2 , pp. 339-356
    • Hebda, J.J.1
  • 27
    • 0035995723 scopus 로고    scopus 로고
    • Local calibration of mass and systolic geometry
    • Katz, M. Local calibration of mass and systolic geometry. Geom. Funct. Anal. 12 (2002), no. 3, 598-621.
    • (2002) Geom. Funct. Anal. , vol.12 , Issue.3 , pp. 598-621
    • Katz, M.1
  • 29
    • 0011575945 scopus 로고    scopus 로고
    • Volume of Riemannian manifolds, geometric inequalities, and homotopy theory
    • Contemporary Mathematics, 231. American Mathematical Society, Providence, R.I.
    • Katz, M. G.; Suciu, A. I. Volume of Riemannian manifolds, geometric inequalities, and homotopy theory. Tel Aviv Topology Conference: Rothenberg Festschrift (1998), 113-136. Contemporary Mathematics, 231. American Mathematical Society, Providence, R.I., 1999.
    • (1999) Tel Aviv Topology Conference: Rothenberg Festschrift (1998) , pp. 113-136
    • Katz, M.G.1    Suciu, A.I.2
  • 30
    • 0035625312 scopus 로고    scopus 로고
    • Systolic freedom of loop space
    • Katz, M.; Suciu, A. Systolic freedom of loop space. Geom. Funct. Anal. 11 (2001), no. 1, 60-73.
    • (2001) Geom. Funct. Anal. , vol.11 , Issue.1 , pp. 60-73
    • Katz, M.1    Suciu, A.2
  • 31
    • 34249953865 scopus 로고
    • Korkin-Zolotarev bases and successive minima of a lattice and its reciprocal lattice
    • Lagarias, J. C.; Lenstra, H. W., Jr.; Schnorr, C.-P. Korkin-Zolotarev bases and successive minima of a lattice and its reciprocal lattice. Combinatorica 10 (1990), no. 4, 333-348.
    • (1990) Combinatorica , vol.10 , Issue.4 , pp. 333-348
    • Lagarias, J.C.1    Lenstra Jr., H.W.2    Schnorr, C.-P.3
  • 32
    • 0039987380 scopus 로고
    • The stable homology of a flat torus
    • Lawson, H. B., Jr. The stable homology of a flat torus. Math. Scand. 36 (1975), 49-73.
    • (1975) Math. Scand. , vol.36 , pp. 49-73
    • Lawson Jr., H.B.1
  • 33
    • 0000816905 scopus 로고
    • Minimal solutions of variational problems on a torus
    • Moser, J. Minimal solutions of variational problems on a torus. Ann. Inst. H. Poincaré Anal. Non Linéaire 3 (1986), no. 3, 229-272.
    • (1986) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.3 , Issue.3 , pp. 229-272
    • Moser, J.1
  • 34
    • 51249161276 scopus 로고
    • On a Liouville-type theorem for linear and nonlinear elliptic differential equations on a torus
    • Moser, J.; Struwe, M. On a Liouville-type theorem for linear and nonlinear elliptic differential equations on a torus. Bol. Soc. Brasil. Mat. (N.S.) 23 (1992), no. 1-2, 1-20.
    • (1992) Bol. Soc. Brasil. Mat. (N.S.) , vol.23 , Issue.1-2 , pp. 1-20
    • Moser, J.1    Struwe, M.2
  • 35
    • 84972497504 scopus 로고
    • Some inequalities in certain nonorientable Riemannian manifolds
    • Pu, P. M. Some inequalities in certain nonorientable Riemannian manifolds. Pacific J. Math. 2 (1952), 55-71.
    • (1952) Pacific J. Math. , vol.2 , pp. 55-71
    • Pu, P.M.1
  • 36
    • 51249177816 scopus 로고
    • Strikte Konvexität für Variationsprobleme auf dem n-dimensionalen Torus
    • Senn, W. Strikte Konvexität für Variationsprobleme auf dem n-dimensionalen Torus. Manuscripta Math. 71 (1991), no. 1, 45-65.
    • (1991) Manuscripta Math. , vol.71 , Issue.1 , pp. 45-65
    • Senn, W.1
  • 37
    • 2442500416 scopus 로고
    • Über Mosers regularisiertes Variationsproblem für minimale Blätterungen des n-dimensionalen Torus
    • Senn, W. Über Mosers regularisiertes Variationsproblem für minimale Blätterungen des n-dimensionalen Torus. Z. Angew. Math. Phys. 42 (1991), no. 4, 527-546.
    • (1991) Z. Angew. Math. Phys. , vol.42 , Issue.4 , pp. 527-546
    • Senn, W.1
  • 39
    • 0010833874 scopus 로고
    • Regularity of area-minimizing hypersurfaces at boundaries with multiplicity
    • Seminar on minimal submanifolds. Princeton University, Princeton, N.J.
    • White, B. Regularity of area-minimizing hypersurfaces at boundaries with multiplicity. Seminar on minimal submanifolds, 293-301. Annals of Mathematics Studies, 103. Princeton University, Princeton, N.J., 1983.
    • (1983) Annals of Mathematics Studies , vol.103 , pp. 293-301
    • White, B.1


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