p -minimising tangent maps and harmonic k -forms

Stefano Montaldo

Bollettino dell'Unione Matematica Italiana (1999)

  • Volume: 2-B, Issue: 2, page 331-339
  • ISSN: 0392-4041

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Montaldo, Stefano. "$p$-minimising tangent maps and harmonic $k$-forms." Bollettino dell'Unione Matematica Italiana 2-B.2 (1999): 331-339. <http://eudml.org/doc/195805>.

@article{Montaldo1999,
author = {Montaldo, Stefano},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {-harmonic; partial regularity; singularities; eigenmaps; -minimizing tangent maps},
language = {eng},
month = {6},
number = {2},
pages = {331-339},
publisher = {Unione Matematica Italiana},
title = {$p$-minimising tangent maps and harmonic $k$-forms},
url = {http://eudml.org/doc/195805},
volume = {2-B},
year = {1999},
}

TY - JOUR
AU - Montaldo, Stefano
TI - $p$-minimising tangent maps and harmonic $k$-forms
JO - Bollettino dell'Unione Matematica Italiana
DA - 1999/6//
PB - Unione Matematica Italiana
VL - 2-B
IS - 2
SP - 331
EP - 339
LA - eng
KW - -harmonic; partial regularity; singularities; eigenmaps; -minimizing tangent maps
UR - http://eudml.org/doc/195805
ER -

References

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  2. BAIRDAND, P.- OU, Y. L., Harmonic maps and morphisms from multilinear norm-preserving mappings, Internat. J. Math., to appear. Zbl0885.58013MR1442435
  3. CORONAND, J.-M.- GULLIVER, R., Minimizing p -harmonic maps into spheres, J. Reine Angew. Math., 401 (1989), 82-100. Zbl0677.58021MR1018054
  4. EELLSAND, J.- LEMAIRE, L., Another report on harmonic maps, Bull. London Math. Soc., 20 (1988), 385-524. Zbl0669.58009MR956352
  5. EELLSAND, J.- RATTO, A., Harmonic Maps and Minimal Immersions with Symmetries, Ann. Math. Stud., 130, Princeton University Press (1993). Zbl0783.58003MR1242555
  6. GAUCHMANAND, H.- TOTH, G., Constructions of harmonic polynomial maps between spheres, Geom. Dedicata, 50 (1994), 57-79. Zbl0805.58020MR1280796
  7. HARDT, R.- LIN, F.H., Mappings minimizing the L p -norm of the gradient, Comm. Pure Appl. Math., 40 (1987), 555-588. Zbl0646.49007MR896767
  8. MONTALDO, S., Stability of harmonic maps and morphisms, Thesis, Leeds University (1996). 
  9. NAKAUCHI, N., Regularity of minimizing p -harmonic maps into the sphere, Boll. Un. Mat. Ital., 10-A (1996), 143-156. Zbl0849.58021MR1386252
  10. NASH, J. F., The imbedding problem for Riemannian manifolds, Ann. Math., 63 (1956), 20-63. Zbl0070.38603MR75639
  11. PARKER, M., Orthogonal multiplications in small dimensions, Bull. London Math. Soc., 15 (1983), 368-372. Zbl0494.58017MR703763
  12. SCHOEN, R.- UHLENBECK, K., A regularity theory for harmonic maps, J. Diff. Geom., 17 (1982), 307-335. Zbl0521.58021MR664498
  13. SCHOEN, R.- UHLENBECK, K., Regularity of minimizing harmonic maps into the sphere, Invent. Math., 78 (1984), 89-100. Zbl0555.58011MR762354
  14. WOOD, R., Polynomial maps from spheres to spheres, Invent. Math., 5 (1968) 163-168. Zbl0204.23805MR227999
  15. YIU, P., Quadratic forms between spheres and the non-existence of sums of squares formulae, Math. Proc. Cambridge Philos. Soc., 100 (1986), 493-504. Zbl0613.55009MR857724

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