@article{ASNSP_1985_4_12_4_589_0, author = {Eells, J. and Salamon, S.}, title = {Twistorial construction of harmonic maps of surfaces into four-manifolds}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {589--640}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 12}, number = {4}, year = {1985}, mrnumber = {848842}, zbl = {0627.58019}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1985_4_12_4_589_0/} }
TY - JOUR AU - Eells, J. AU - Salamon, S. TI - Twistorial construction of harmonic maps of surfaces into four-manifolds JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1985 SP - 589 EP - 640 VL - 12 IS - 4 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1985_4_12_4_589_0/ LA - en ID - ASNSP_1985_4_12_4_589_0 ER -
%0 Journal Article %A Eells, J. %A Salamon, S. %T Twistorial construction of harmonic maps of surfaces into four-manifolds %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1985 %P 589-640 %V 12 %N 4 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1985_4_12_4_589_0/ %G en %F ASNSP_1985_4_12_4_589_0
Eells, J.; Salamon, S. Twistorial construction of harmonic maps of surfaces into four-manifolds. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 12 (1985) no. 4, pp. 589-640. http://www.numdam.org/item/ASNSP_1985_4_12_4_589_0/
[A] Some interior regularity theorems for minimal surfaces and an extension of Bernstein's theorem, Ann. of Math., 84 (1966), pp. 277-292. | MR | Zbl
,[AHS] Self-duality in four-dimensional Riemannian geometry, Proc. Roy. Soc. Lond. Ser. A, 362 (1978), pp. 425-461. | MR | Zbl
- - :[B] Les variétés riemanniennes homogènes normales simplement connexes à courbure strictement positive, Ann. Scuola Norm. Sup. Pisa Cl. Sci., 15 (1961), pp. 179-246. | EuDML | Numdam | MR | Zbl
,[Be] Sém. A. Besse (1978-79), Géométrie riemannienne en dimension 4, Cedic/ F. Nathan (1981). | MR
[BH] Characteristic classes and homogeneous spaces I, Amer. J. Math., 80 (1958), pp. 458-538. | MR | Zbl
- ,[Br] Conformal and minimal immersions of compact surfaces into the 4-sphere, J. Differential Geom., 17 (1982), pp. 455-473. | MR | Zbl
,[Bu] Non-linear functional analysis and harmonic maps, Ph. D. Thesis, University of Warwick (1984).
,[C1] Minimal immersions of surfaces in Euclidean spheres, J. Differential Geom., 1 (1967), pp. 111-125. | MR | Zbl
,[C 2] Quelques applications de l'analyse complexe aux surfaces d'aire minima. Topics in Complex Manifolds, Univ. de Montréal (1967), pp. 59-81.
,[Ch1] Minimal surfaces in Euclidean space of N dimensions, in Differential and Combinatorial Topology: Symposium in honor of Marston Morse, Princeton University Press (1965), pp. 187-198. | MR | Zbl
,[Ch 2] On the minimal immersions of the two-sphere in a space of constant curvature. Problems in Analysis, Princeton University Press (1970), pp. 27-40. | MR | Zbl
,[CW] Minimal surfaces by moving frames, Amer. J. Math., 105 (1983), pp. 59-83. | MR | Zbl
- ,[E 1] Gauss maps of surfaces, in Perspectives in Mathematics, Anniversary of Oberwolfach 1984, Birkhäuser. | MR | Zbl
,[E 2] Minimal branched immersions into three-manifolds, to appear. | MR
,[EL] A report on harmonic maps, Bull. London Math. Soc., 10 (1978), pp. 1-68. | MR | Zbl
- ,[ES] Constructions twistorielles des applications harmoniques, C. R. Acad. Sci. Paris, 296 (1983), pp. 685-687. | MR | Zbl
- ,[ESa] Harmonic mappings of Riemannian manifolds, Amer. J. Math., 86 (1964), pp. 109-160. | MR | Zbl
- ,[EW1] Maps of minimum energy, J. London Math. Soc., 23 (1981), pp. 303-310. | MR | Zbl
- ,[EW2] Harmonic maps from surfaces to complex projective spaces, Adv. in Math., 49 (1983), pp. 217-263. | MR | Zbl
- ,[ETG] The fundamental equations of minimal surfaces in CP2, Math. Ann., 270 (1985), pp. 571-598. | MR | Zbl
- - ,[F] On surfaces in four-spaces, Ann. Glob. Analysis and Geometry, 2 (1984), pp. 257-287. | MR | Zbl
,[G1] Minimal varieties and almost Hermitian manifolds, Michigan Math. J., 12 (1965), pp. 273-287. | MR | Zbl
,[G2] Riemannian manifolds with geodesic symmetries of order 3, J. Differential Geom., 7 (1972), pp. 343-369. | MR | Zbl
,[GOR] A theory of branched immersions of surfaces, Amer. J. Math., 95 (1973), pp. 750-812. | MR | Zbl
- - ,[Hi] Immersions of manifolds, Trans. Amer. Math. Soc., 93 (1959), pp. 242-276. | MR | Zbl
,[Hir] Topological Methods in Algebraic Geometry, 3rd edition, Springer, 1966. | MR | Zbl
,[H 1] Compact four-dimensional Einstein manifolds, J. Differential Geometry, 9 (1974), pp. 435-441. | MR | Zbl
,[H2] Kählerian twistor spaces, Proc. London Math. Soc., 43 (1981), pp. 133-150. | MR | Zbl
,[H3] Monopoles and geodesics, Comm. Math. Phys., 83 (1982), pp. 579-602. | MR | Zbl
,[K] On the structure of compact complex analytic surfaces II, Amer. J. Math., 88 (1966), pp. 682-721. | MR | Zbl
,[KM] Sur certaines structures fibrées complexes, Arch. Math., 9 (1958), pp. 102-109. | MR | Zbl
- ,[LS] On the immersion of manifolds in Euclidean space, Ann. Math., 68 (1958), pp. 562-583. | MR | Zbl
- ,[L1] Complete minimal surfaces in S3, Ann. of Math., 92 (1970), pp. 335-374. | MR | Zbl
,[L 2] Lectures on Minimal Submanifolds, 2nd edition, Publish or Perish, 1980. | MR | Zbl
,[Le] Twistor CR manifolds and 3-dimensional conformal geometry, Trans. Amer. Math. Soc. 284 (1984), pp, 601-616. | MR | Zbl
,[Li] Applications harmoniques et variétés kählériennes, Symposia Mathematica, 3 (1970), pp. 341-402. | MR | Zbl
,[M] Stable minimal surfaces in Euclidean space, J. Differential Geom., 19 (1984), pp. 57-84. | MR | Zbl
,[N] Isotropic submanifolds with parallel second fundamental form in pm(c), Osaka J. Math., 18 (1981), pp. 427-464. | MR | Zbl
,[NN] Complex analytic coordinates in almost complex manifolds, Ann. of Math., 65 (1957), pp. 391-404. | MR | Zbl
- ,[NW] Some integration problems in almost-complex and complex manifolds, Ann. of Math., 77 (1963), pp. 424-489. | MR | Zbl
- ,[O] The Gauss map of immersions of Riemannian manifolds in spaces of constant curvature, J. Differential Geom., 2 (1968), pp. 217-223. | MR | Zbl
,[ON] The fundamental equations of a submersion, Michigan Math. J., 13 (1966), pp. 459-469. | MR | Zbl
,[P] Minimal surfaces in four-dimensional manifolds, M. Sc. Thesis, University of Oxford, 1983.
,[R] f-structures, f-twistor spaces and harmonic maps, in Geometry Seminar Luigi Bianchi II, to appear. | MR | Zbl
,[Ru] Minimal immersions of 2-spheres in S4, Proc. Amer. Math. Soc., 28 (1971), pp. 219-222. | MR | Zbl
,[RV] The tension field of the Gauss map, Trans. Amer. Math. Soc., 149 (1970), pp. 569-573. | MR | Zbl
- ,[S1] Quaternionic Kähler manifolds, Invent. Math., 67 (1982), pp. 143-171. | MR | Zbl
,[S 2] Topics in four-dimensional Riemannian geometry, in Geometry Seminar Luigi Bianchi, Lecture Notes in Mathematics 1022, Springer (1983), pp. 33-124. | MR | Zbl
,[S 3] Harmonic and holomorphic maps, in Geometry Seminar Luigi Bianchi II, to appear. | MR | Zbl
,[Sm] A survey of some recent developments in differential topology, Bull. Amer. Math. Soc., 69 (1963), pp. 131-145. | MR | Zbl
,[SU] The existence of minimal immersions of two-spheres, Ann. of Math., 113 (1981), pp. 1-24. | MR | Zbl
- ,[W] Complex homogeneous contact manifolds and quaternionic symmetric spaces, J. Math. Mech., 14 (1965), pp. 1033-1047. | MR | Zbl
,[WG] Homogeneous spaces defined by Lie group automorphisms I, II, J. Differential Geom., 2 (1968), pp. 77-159. | MR | Zbl
- ,[Wo] Minimal surfaces in complex manifolds, Ph. D. Thesis, University of California Berkley (1982).
,[GL] Topologically nonsingular minimal cones. | Zbl
- ,[Gr] Pseudo holomorphic curves in symplectic manifolds. | Zbl
,[We] Minimal surfaces in a Kähler surface. | Zbl
,