메뉴 건너뛰기




Volumn 5, Issue 4, 1998, Pages 461-471

Volumes, middle-dimensional systoles, and whitehead products

Author keywords

Coarea inequality; Hilton Milnor theorem; Isoperimetric inequality; Systole; Systolic freedom; Volume; Whitehead product

Indexed keywords


EID: 0032219338     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.1998.v5.n4.a4     Document Type: Article
Times cited : (10)

References (20)
  • 1
    • 0003106845 scopus 로고
    • Asymptotic invariants of smooth manifolds
    • 1. I. Babenko, Asymptotic invariants of smooth manifolds, Russian Acad. Sci. Izv. Math. 41 (1993), 1-38.
    • (1993) Russian Acad. Sci. Izv. Math. , vol.41 , pp. 1-38
    • Babenko, I.1
  • 3
    • 0000943674 scopus 로고
    • Intersystolic inequalities in dimension 3
    • 3. L. Bérard Bergery and M. Katz, Intersystolic inequalities in dimension 3, Geom. Funct. Anal. 4 (1994), 621-632.
    • (1994) Geom. Funct. Anal. , vol.4 , pp. 621-632
    • Bérard Bergery, L.1    Katz, M.2
  • 5
    • 0003164986 scopus 로고
    • Systoles et applications selon Gromov
    • Séminaire N. Bourbaki, exposé 771
    • 5. -, Systoles et applications selon Gromov, Séminaire N. Bourbaki, exposé 771, Astérisque 216 (1993), 279-310.
    • (1993) Astérisque , vol.216 , pp. 279-310
  • 6
    • 51249195132 scopus 로고
    • Ueber die Homotopiegruppen von Gruppenraümen
    • 6. B. Eckmann, Ueber die Homotopiegruppen von Gruppenraümen, Comment. Math. Helv. 14 (1941), 234-256.
    • (1941) Comment. Math. Helv. , vol.14 , pp. 234-256
    • Eckmann, B.1
  • 7
    • 84973997597 scopus 로고
    • Volume-minimizing cycles in Grassmann manifolds
    • 7. H. Gluck, D. Mackenzie, and F. Morgan, Volume-minimizing cycles in Grassmann manifolds, Duke Math. J. 79 (1995), 335-404.
    • (1995) Duke Math. J. , vol.79 , pp. 335-404
    • Gluck, H.1    Mackenzie, D.2    Morgan, F.3
  • 8
    • 84956267209 scopus 로고
    • Filling riemannian manifolds
    • 8. M. Gromov, Filling Riemannian manifolds, J. Differential Geom. 18 (1983), 1-147.
    • (1983) J. Differential Geom. , vol.18 , pp. 1-147
    • Gromov, M.1
  • 9
    • 0001161747 scopus 로고    scopus 로고
    • Systoles and intersystolic inequalities, Actes de la table ronde de géométrie différentielle en l'honneur de Marcel Berger
    • (A. Besse, ed.)
    • 9. -, Systoles and intersystolic inequalities, Actes de la table ronde de géométrie différentielle en l'honneur de Marcel Berger (A. Besse, ed.), Séminaires et Congrès 1, Société Mathématique de France, 1996, pp. 291-362.
    • (1996) Séminaires et Congrès 1, Société Mathématique de France , pp. 291-362
  • 10
    • 0003268230 scopus 로고    scopus 로고
    • Metric structures for riemannian and non-riemannian spaces
    • Birkhäuser, Boston, MA
    • 10. -, Metric structures for Riemannian and non-Riemannian spaces, Progr. Math., vol. 152, Birkhäuser, Boston, MA, 1998.
    • (1998) Progr. Math. , vol.152
  • 11
    • 0003356284 scopus 로고
    • Homotopy theory
    • Academic Press, Boston, MA
    • 11. S.-T. Hu, Homotopy theory, Pure Appl. Math., vol. 8, Academic Press, Boston, MA, 1959.
    • (1959) Pure Appl. Math. , vol.8
    • Hu, S.-T.1
  • 12
    • 0000936803 scopus 로고
    • Counterexamples to isosystolic inequalities
    • 12. M. Katz, Counterexamples to isosystolic inequalities, Geom. Dedicata 57 (1995), 195-206.
    • (1995) Geom. Dedicata , vol.57 , pp. 195-206
    • Katz, M.1
  • 13
    • 85033538863 scopus 로고    scopus 로고
    • Systolically free manifolds
    • 13. -, Systolically free manifolds, Appendix D in [10].
    • Appendix D , vol.10
  • 14
    • 0004264319 scopus 로고
    • University Series in Higher Math., Van Nostrand Reinhold, New York
    • 14. A. Lundell and S. Weingram, The topology of CW complexes, University Series in Higher Math., Van Nostrand Reinhold, New York, 1969.
    • (1969) The Topology of CW Complexes
    • Lundell, A.1    Weingram, S.2
  • 16
    • 0009977913 scopus 로고    scopus 로고
    • Extremal geometries
    • Extremal Riemann surfaces (J. R. Quine and P. Sarnak, eds.), Amer. Math. Soc., Providence, RI
    • 16. P. Sarnak, Extremal geometries, Extremal Riemann surfaces (J. R. Quine and P. Sarnak, eds.), Contemp. Math., vol. 201, Amer. Math. Soc., Providence, RI, 1997, pp. 1-7.
    • (1997) Contemp. Math. , vol.201 , pp. 1-7
    • Sarnak, P.1
  • 17
    • 0000316126 scopus 로고
    • Groupes d'homotopie et classes de groupes abeliens
    • 17. J.-P. Serre, Groupes d'homotopie et classes de groupes abeliens, Ann. of Math. 58 (1953), 258-294.
    • (1953) Ann. of Math. , vol.58 , pp. 258-294
    • Serre, J.-P.1
  • 18
    • 51249193717 scopus 로고
    • Quelques propriétés globales des variétés différentiables
    • 18. R. Thom, Quelques propriétés globales des variétés différentiables, Comment. Math. Helv. 28 (1954), 17-86.
    • (1954) Comment. Math. Helv. , vol.28 , pp. 17-86
    • Thom, R.1
  • 19
    • 0010048208 scopus 로고
    • A generalization of the Hopf invariant
    • 19. G. W. Whitehead, A generalization of the Hopf invariant, Ann. of Math. 51 (1950), 192-237.
    • (1950) Ann. of Math. , vol.51 , pp. 192-237
    • Whitehead, G.W.1
  • 20
    • 0004306045 scopus 로고
    • Elements of homotopy theory
    • Springer-Verlag, New York
    • 20. -, Elements of homotopy theory, Grad. Texts in Math., vol. 61, Springer-Verlag, New York, 1978.
    • (1978) Grad. Texts in Math. , vol.61


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.