Surfaces minimales et la construction de Calabi-Penrose
Séminaire Bourbaki (1983-1984)
- Volume: 26, page 197-211
- ISSN: 0303-1179
Access Full Article
topHow to cite
topLawson, H. Blaine, Jr.. "Surfaces minimales et la construction de Calabi-Penrose." Séminaire Bourbaki 26 (1983-1984): 197-211. <http://eudml.org/doc/110024>.
@article{Lawson1983-1984,
author = {Lawson, H. Blaine, Jr.},
journal = {Séminaire Bourbaki},
keywords = {branched minimal immersions; holomorphic curve; Calabi-Penrose construction; minimal maps},
language = {fre},
pages = {197-211},
publisher = {Société Mathématique de France},
title = {Surfaces minimales et la construction de Calabi-Penrose},
url = {http://eudml.org/doc/110024},
volume = {26},
year = {1983-1984},
}
TY - JOUR
AU - Lawson, H. Blaine, Jr.
TI - Surfaces minimales et la construction de Calabi-Penrose
JO - Séminaire Bourbaki
PY - 1983-1984
PB - Société Mathématique de France
VL - 26
SP - 197
EP - 211
LA - fre
KW - branched minimal immersions; holomorphic curve; Calabi-Penrose construction; minimal maps
UR - http://eudml.org/doc/110024
ER -
References
top- [A] F.J. Almgren, Jr. - Some interior regularity theorems for minimal surfaces and an extension of Bernstein's theorem, Ann. of Math.84(1966), 277-292. Zbl0146.11905MR200816
- [AHS] M. Atiyah, N. Hitchin and I. Singer - Self-duality in four-dimensional riemannian geometry, Proc. Royal Soc. London Ser. A362(1978), 425-461. Zbl0389.53011MR506229
- [Ba] L. Barbosa - On minimal immersions of S2 into S2m, Trans. Amer. Math. Soc.210 (1975), 75-106. Zbl0328.53042MR375166
- [BO] L. Bérard Bergery and T. Ochiai - On some generalizations of the construction of twistor spaces, in Global Riemannian Geometry, ed. T.J. Willmore and N. Hitchin, Ellis Horwood London, 1984, 52-58. Zbl0639.53042MR757205
- [B1] R. Bryant - Submanifolds and special structures on the octonions, J. Diff. Geom.17(1982), 185-232. Zbl0526.53055MR664494
- [B2] R. Bryant - Conformal and minimal immersions of compact surfaces into the 4-spheres, J. Diff. Geom.17(1982), 455-473. Zbl0498.53046MR679067
- [B3] R. Bryant - Lie groups and twistor spaces, à paraître. Zbl0582.58011
- [Bu] D. Burns - Harmonic maps from CP1 to CPn, Harmonic maps Symposium, New Orleans (1980), Springer Lect. Notes949(1982), 48-55. Zbl0507.58018
- [C1] E. Calabi - Quelques applications de l'analyse complexe aux surfaces d'aire minima, Topics in Complex Manifolds (Ed. H. Rossi), Les Presses de l'Univ. de Montréal (1967), 59-81.
- [C2] E. Calabi - Minimal immersions of surfaces in euclidean spheres, J. Diff. Geom.1(1967), 111-125. Zbl0171.20504MR233294
- [Ch1] S.S. Chern - On the minimal immersions of the two-sphere in a space of constant curvature, Problems in Analysis, Princeton (1970), 27-40. Zbl0217.47601MR362151
- [Ch2] S.S. Chern - On minimal spheres in the 4-sphere, Studies and essays presented to T.W. Chen, Taiwan (1970), 137-150. Zbl0212.26402MR278205
- [CS] H. Choi and E. Schoen - The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature, à paraître. Zbl0577.53044
- [DZ1] A.M. Din and W.J. Zakrzewski - General classical solutions in the CPn-1 model, Nucl. Phys. B 174(1980), 397-406. MR591620
- [DZ2] A.M. Din and W.J. Zakrzewski - Properties of the general classical CPn-1 model, Phys. Letters95 B(1980), 419-422. MR590024
- [DuV] M. Dubois-Violette - Structures complexes au-dessus des variétés, applications, Math. et Phys., Sém. E.N.S., Birkhäuser, Progress in Math., 37(1983), 1-43. Zbl0522.53029MR728412
- [E] J. Eells - Gauss maps of surfaces, à paraître dans le volume du 40e anniversaire d'Oberwolfach. Zbl0581.58013
- [EL1] J. Eells and L. Lemaire - A report on harmonic maps, Bull. London Math. Soc.10(1978), 1-68. Zbl0401.58003MR495450
- [EL2] J. Eells and L. Lemaire - Selected topics in harmonic maps, C.B.M.S. Regional Conf. Series n° 50, A.M.S. Providence, 1980. Zbl0515.58011MR703510
- [ES] J. Eells et S. Salamon - Constructions twistorielles des applications harmoniques, C.R. Acad. Sci. Paris296(1983), 685-687. Zbl0531.58020MR705691
- [EW1] J. Eells and J.C. Wood - The existence and construction of certain harmonic maps, Symp. Math. Ist. Naz. Alta Mat. Roma26(1982), 123-138. Zbl0488.58008MR663028
- [EW2] J. Eells and J.C. Wood - Harmonic maps from surfaces to complex projective spaces, Advances in Math.49(1983), 217-263. Zbl0528.58007MR716372
- [ErW] S. Erden and J.C. Wood - On the construction of harmonic maps into a Grassmannian, J. London Math. Soc.28(1983), 161-174. Zbl0492.58013MR703474
- [F] H. Federer - Some theorems on integral currents, Trans. Amer. Math. Soc.117 (1965), 43-67. Zbl0136.18204MR168727
- [GH] P. Griffiths and J. Harris - Principles of Algebraic Geometry, Wiley-Interscience, New York, 1978. Zbl0408.14001MR507725
- [GS] V. Glaser and R. Stora - Regular solutions of the CPn models and further generalizations, CERN preprint, 1980.
- [G] R.D. Gulliver - Regularity of minimizing surfaces of prescribed mean curvature, Ann. of Math.97(1973), 275-305. Zbl0246.53053MR317188
- [Gr] A. Gray - Vector cross products on manifolds, Trans. Amer. Math. Soc . 141 (1969), 465-504. Zbl0182.24603MR243469
- [H] H. Hopf - Über Flächen mit einer Relation zwischen den Hauptkrümmungen, Math. Nachr.4(1950/1), 232-249. Zbl0042.15703MR40042
- [HL] R. Harvey and H.B. Lawson, Jr. - Calibrated Geometries, Acta Math.148(1982), 47-157. Zbl0584.53021MR666108
- [L1] H.B. Lawson, Jr. - Complete minimal surfaces in S3, Ann. of Math.92 (1970) , 335-374. Zbl0205.52001MR270280
- [L2] H.B. Lawson, Jr. - Lectures on Minimal Submanifolds, IMPA, Rio de Janeiro1970, 2e edition, Publish or Perish Press, Berkeley, 1980. Zbl0434.53006
- [O'N] B. O'Neill - The fundamental equations of a submersion, Mich. Math. J.13 (1966), 459-469. Zbl0145.18602MR200865
- [0] R. Osserman - A proof of the regularity eveywhere of the classical solution to Plateau's problem, Ann. of Math.97(1973), 275-305. Zbl0194.22302MR317188
- [S] S. Salamon - Harmonic and holomorphic maps, à paraître. Zbl0591.53031
- [V] J.-L. Verdier - Two dimensional σ-models and harmonic maps from S2 to S2n, Springer-Verlag, Lect. Notes in Physics180(1982), 136-141. Zbl0528.58008
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.