Least-volume representatives of homology classes in G ( 2 , 𝐂 4 )

Frank Morgan

Annales scientifiques de l'École Normale Supérieure (1989)

  • Volume: 22, Issue: 1, page 127-135
  • ISSN: 0012-9593

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Morgan, Frank. "Least-volume representatives of homology classes in $G(2,\mathbf {C}^4)$." Annales scientifiques de l'École Normale Supérieure 22.1 (1989): 127-135. <http://eudml.org/doc/82243>.

@article{Morgan1989,
author = {Morgan, Frank},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {calibrations; Grassmannian; quaternions; integral homology class; least- volume representative},
language = {eng},
number = {1},
pages = {127-135},
publisher = {Elsevier},
title = {Least-volume representatives of homology classes in $G(2,\mathbf \{C\}^4)$},
url = {http://eudml.org/doc/82243},
volume = {22},
year = {1989},
}

TY - JOUR
AU - Morgan, Frank
TI - Least-volume representatives of homology classes in $G(2,\mathbf {C}^4)$
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1989
PB - Elsevier
VL - 22
IS - 1
SP - 127
EP - 135
LA - eng
KW - calibrations; Grassmannian; quaternions; integral homology class; least- volume representative
UR - http://eudml.org/doc/82243
ER -

References

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  1. [A] F. J. ALMGREN Jr., Q Valued Functions Minimizing Dirichlet's Integral and the Regularity of Area Minimizing Rectifiable Currents up to Codimension Two (Bull. Amer. Math. Soc., Vol. 8, 1983, pp. 327-328). Zbl0557.49021MR84b:49052
  2. [C] SHIING-SHEN CHERN, Complex Manifolds without Potential Theory, Springer-Verlag, 1979. Zbl0444.32004
  3. [DHM] J. DADOK, R. HARVEY and F. MORGAN, Calibrations on R8 (Trans. Amer. Math. Soc., 307, 1988, pp. 1-40). Zbl0666.49015MR89f:53089
  4. [F] H. FEDERER, Geometric Measure Theory, Springer-Verlag, 1969. Zbl0176.00801MR41 #1976
  5. [HL] R. HARVEY and H. B. LAWSON Jr., Calibrated Geometries (Acta Math., Vol. 148, 1982, pp. 47-157). Zbl0584.53021MR85i:53058
  6. [MS] J. W. MILNOR and J. D. STASHEFF, Characteristic Classes, Ann. of Math. Studies, No. 76, Princeton University Press, 1974. Zbl0298.57008MR55 #13428
  7. [Mo1] F. MORGAN, Area-Minimizing Surfaces, Faces of Grassmannians, and Calibrations (Amer. Math. Monthly, Vol. 95, 1988, pp. 813-822). Zbl0672.49028MR89m:53016
  8. [Mo2] F. MORGAN, Calibrations and New Singularities in Area-Minimizing Surfaces : a Survey [Proc. Conf. Problemes Variationnels, Paris, 1988 (to appear)]. Zbl0721.53058
  9. [Mo3] F. MORGAN, Geometric Measure Theory : A Beginner's Guide, Academic Press, 1988. Zbl0671.49043MR89f:49036

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