Minimal deformation of a non-full minimal surface in S 4 ( 1 )

Norio Ejiri

Compositio Mathematica (1994)

  • Volume: 90, Issue: 2, page 183-209
  • ISSN: 0010-437X

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Ejiri, Norio. "Minimal deformation of a non-full minimal surface in $S^4(1)$." Compositio Mathematica 90.2 (1994): 183-209. <http://eudml.org/doc/90272>.

@article{Ejiri1994,
author = {Ejiri, Norio},
journal = {Compositio Mathematica},
keywords = {extra eigenfunction; holomorphic map},
language = {eng},
number = {2},
pages = {183-209},
publisher = {Kluwer Academic Publishers},
title = {Minimal deformation of a non-full minimal surface in $S^4(1)$},
url = {http://eudml.org/doc/90272},
volume = {90},
year = {1994},
}

TY - JOUR
AU - Ejiri, Norio
TI - Minimal deformation of a non-full minimal surface in $S^4(1)$
JO - Compositio Mathematica
PY - 1994
PB - Kluwer Academic Publishers
VL - 90
IS - 2
SP - 183
EP - 209
LA - eng
KW - extra eigenfunction; holomorphic map
UR - http://eudml.org/doc/90272
ER -

References

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  1. [Br] R.L. Bryant, Surfaces in Conformal Geometry, Proc. of Sym. in Pure Math.48 (1988) 227-240. Zbl0654.53010MR974338
  2. [E1] N. Ejiri, Calabi lifting and surface geometry in S 4Tokyo Math. J.9 (1986) 297-324. Zbl0613.53025MR875190
  3. [E2] N. Ejiri, Equivalent minimal immersions of S 2 into S2m(1), Trans. Amer. Math.297 (1986) 105-124. Zbl0636.53066MR849470
  4. [E3] N. Ejiri, Two applications of the unit normal bundle of a minimal surface in RN, Pacific J. of Math.147 (1991) 291-300. Zbl0722.53005MR1084710
  5. [E-K1] N. Ejiri and M. Kotani, Index and Flat Ends of Minimal surfaces, preprint. Zbl0856.53013MR1223287
  6. [E-K2] N. Ejiri and M. Kotani, Minimal surfaces in S2m(1) with extra eigenfunctions, preprint. Zbl0778.53047
  7. [E-S] J. Eells and S. Salamon, Twistorial constructions of harmonic maps of surfaces into four-manifolds, Ann. Scuola Norm. Sup.Pisa (4) 12 (1985) 589-640. Zbl0627.58019MR848842
  8. [F] D. Fisher-Colbrie, On complete minimal surfaces with finite Morse index in three manifolds, Invent. Math.82 (1985) 121-132. Zbl0573.53038MR808112
  9. [K-S] K. Kodaira and D. Spencer, On deformations of complex analytic structures, III, Stability theorems for complex structures, Ann. of Math.71 (1960) 43-76. Zbl0128.16902MR115189
  10. [L] D.P. Leung, Deformations of integrals of exterior differential system, Trans. Amer. Math.170 (1972) 333-358. Zbl0248.58003MR314082
  11. [Loo] B. Loo, The space of harmonic maps of S2 to S4, Trans. Amer. Math. Soc.313 (1989) 81-102. Zbl0686.58009MR962283
  12. [M-R] S. Montiel and A. Ros, Index of complete minimal surfaces. Schrodinger operator associated with a holomorphic map, preprint. 
  13. [Nam] M. Namba, Branched coverings and algebraic functions, Research Notes in Math.161 (1987), Pitman-Longman. Zbl0706.14017MR933557
  14. [Nay] S. Nayatani, Morse index and Gauss maps of complete minimal surfaces in Euclidean 3-space, preprint. Zbl0797.58018MR1241471
  15. [O'N] B O'Neill, The fundamental equations of a submersion, Mich. Math. J.13 (1966) 459-469. Zbl0145.18602MR200865

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