Superminimal fibres in an almost Hermitian submersion

Bill Watson

Bollettino dell'Unione Matematica Italiana (2000)

  • Volume: 3-B, Issue: 1, page 159-172
  • ISSN: 0392-4041

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Watson, Bill. "Superminimal fibres in an almost Hermitian submersion." Bollettino dell'Unione Matematica Italiana 3-B.1 (2000): 159-172. <http://eudml.org/doc/194960>.

@article{Watson2000,
author = {Watson, Bill},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {almost Hermitian submersion; almost Hermitian structure},
language = {eng},
month = {2},
number = {1},
pages = {159-172},
publisher = {Unione Matematica Italiana},
title = {Superminimal fibres in an almost Hermitian submersion},
url = {http://eudml.org/doc/194960},
volume = {3-B},
year = {2000},
}

TY - JOUR
AU - Watson, Bill
TI - Superminimal fibres in an almost Hermitian submersion
JO - Bollettino dell'Unione Matematica Italiana
DA - 2000/2//
PB - Unione Matematica Italiana
VL - 3-B
IS - 1
SP - 159
EP - 172
LA - eng
KW - almost Hermitian submersion; almost Hermitian structure
UR - http://eudml.org/doc/194960
ER -

References

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  2. BRYANT, R., Conformal and minimal immersions of compact surfaces into the 4 -sphere, J. Differential Geom., 17 (1982), 455-473. Zbl0498.53046MR679067
  3. CALABI, E., Minimal immersions of surfaces into Euclidean spheres, J. Differential Geom., 1 (1967), 111-125. Zbl0171.20504MR233294
  4. FALCITELLI, M.- PASTORE, A. M., A note on almost Kähler and nearly Kähler submersions, (preprint), 1998. Zbl0967.53023
  5. FRIEDRICH, T., On surfaces in four-spaces, Ann. Global Anal. & Geom., 2 (1984), 257-287. Zbl0562.53039
  6. FRIEDRICH, T., On superminimal surfaces, Arch. Math. (Brno), 33 (1997), 41-56. Zbl1022.53050MR1464300
  7. GRAY, A., Minimal varieties and almost Hermitian submanifolds, Michigan Math. J., 12 (1965), 273-287. Zbl0132.16702MR184185
  8. GRAY, A., Pseudo-Riemannian almost product manifolds and submersions, J. Math. Mech., 16 (1967), 715-738. Zbl0147.21201MR205184
  9. GRAY, A.- HERVELLA, L., The sixteen classes of almost Hermitian manifolds and their linear invariants, Ann. Mat. Pura Appl.CXXIII (1980), 35-58. Zbl0444.53032MR581924
  10. GUDMUNDSSON, S.- WOOD, J. C., Harmonic morphisms between almost Hermitian manifolds, Boll. Un. Mat. Ital.11-B, Supp. 2 (1997), 185-197. Zbl0879.53023MR1456260
  11. HERVELLA, L.- VIDAL, E., Nouvelles géométries pseudo-Kähleriennes G 1 et G 2 , C. R. Acad. Sci. Paris283 (1976), 115-118. Zbl0331.53026MR431008
  12. JOHNSON, D. L., Kähler submersions and holomorphic connections, J. Diff. Geometry15 (1980), 71-79. Zbl0442.53030MR602440
  13. KOBAYASHI- NOMIZU, K., Foundations of Differential Geometry, Vol. II, Interscience, New York1969. Zbl0175.48504MR238225
  14. KWIETNIEWSKI, ST., Über Flachen des vierdimensionalen Raumes, deren sämtliche Tangentialbenen untereinander gleichwinklig sind, und ihre Beziehung zu ebenen Kurven, Dissertation, Zürich, 1902. JFM34.0702.01
  15. MICALLEF, M. J.- MOORE, J. D., Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes, Ann. Math., 127 (1988), 199-227. Zbl0661.53027MR924677
  16. O'NEILL, B., The fundamental equations of a submersion, Michigan Math. J., 13 (1966), 459-469. Zbl0145.18602MR200865
  17. WATSON, B., Almost Hermitian submersions, J. Diff. Geometry, 11 (1976), 147-165. Zbl0355.53037MR407784
  18. WATSON, B., The four-dimensional Goldberg Conjecture is true for almost Kähler submersions (to appear) J. of Geometry, 1999. Zbl0979.53081MR1800470
  19. WATSON, B.- VANHECKE, L., J-symmetries and J-linearities of the configuration tensors of an almost Hermitian submersion, Simon Stevin, 51 (1977), 139-156. Zbl0379.53038MR482558
  20. WATSON, B.- VANHECKE, L., The structure equation of an almost semi-Kähler submersion, Houston Math. J., 5 (1979), 295-305. Zbl0423.53028MR546764

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