Sur les hypersurfaces minimales des variétés riemanniennes à courbure de Ricci positive ou nulle

Daniel Meyer

Bulletin de la Société Mathématique de France (1983)

  • Volume: 111, page 359-366
  • ISSN: 0037-9484

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Meyer, Daniel. "Sur les hypersurfaces minimales des variétés riemanniennes à courbure de Ricci positive ou nulle." Bulletin de la Société Mathématique de France 111 (1983): 359-366. <http://eudml.org/doc/87446>.

@article{Meyer1983,
author = {Meyer, Daniel},
journal = {Bulletin de la Société Mathématique de France},
keywords = {Minimal hypersurfaces; nonpositive Ricci curvature},
language = {fre},
pages = {359-366},
publisher = {Société mathématique de France},
title = {Sur les hypersurfaces minimales des variétés riemanniennes à courbure de Ricci positive ou nulle},
url = {http://eudml.org/doc/87446},
volume = {111},
year = {1983},
}

TY - JOUR
AU - Meyer, Daniel
TI - Sur les hypersurfaces minimales des variétés riemanniennes à courbure de Ricci positive ou nulle
JO - Bulletin de la Société Mathématique de France
PY - 1983
PB - Société mathématique de France
VL - 111
SP - 359
EP - 366
LA - fre
KW - Minimal hypersurfaces; nonpositive Ricci curvature
UR - http://eudml.org/doc/87446
ER -

References

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  2. [Be] BESSE (A.). — Géométrie riemannienne en dimension 4, Textes Maths., Cedic, Paris, 1981. Zbl0472.00010MR86i:53020
  3. [Bo] BOURGUIGNON (J. P.). — Sur les géodésiques fermées des variétés quaternioniennes de dimension 4, Math. Ann., vol. 221, 2, 1976, p. 153-166. Zbl0309.53044MR53 #9288
  4. [C-G] CHEEGER (J.) and GROMOLL (D.). — The splitting theorem for manifolds of nonnegative Ricci curvature, J. diff. géom., vol. 6, 1972, p. 119-128. Zbl0223.53033MR46 #2597
  5. [D] DUFF (G.). — Differential forms on manifolds with boundary, Ann. of Math., vol. 56, n° 1, 1952, p. 115-127. Zbl0049.18804MR13,986e
  6. [D-S] DUFF (G.) and SPENCER (D. C.). — Harmonic tensors on Riemannian manifolds with boundary, Ann. of Math., vol. 56, 1952, p. 128-156. Zbl0049.18901MR13,987a
  7. [F] FRANKEL (T.). — Manifolds with positive curvature, Ann. of Math., 1961, p. 165-174. Zbl0107.39002MR23 #A600
  8. [Ga] GALLOWAY (G. J.). — Some results on the occurence of compact minimal submanifolds, Man. Math., vol. 35, n° 1, 1981, p. 209-219. Zbl0474.53054MR82k:53061
  9. [Gr] GREENBERG (M.). — Algebraic topology, W. Benjamin, New York. Zbl0114.39502
  10. [G-K-M] GROMOLL (D.), KLINGENBERG (W.) und MEYER (W.). — Riemannsche Geometrie im Groβen, Springer lect. notes n° 55, 1968. Zbl0155.30701MR37 #4751
  11. [Hi] HIRSCH (M.). — Differential topology, GTM Springer. Zbl0356.57001
  12. [Hs] HSIUNG (C. C.). — Curvature and homology of Riemannian manifolds with boundary, Math. Zeit., vol. 82, 1963, p. 67-81. Zbl0119.17202MR27 #2943
  13. [K] KASUE (A.). — Preprint, Tokyo Hongo University, 1981. 
  14. [La] LAWSON (H. B.). — Minimal varieties in real and complex geometry, SMS Montréal n° 57, 1974. Zbl0328.53001MR57 #13798

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