Generalized condensers and conformal properties of riemannian manifolds with at least two ends

Jacqueline Ferrand

Séminaire de théorie spectrale et géométrie (1998-1999)

  • Volume: 17, page 27-46
  • ISSN: 1624-5458

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Ferrand, Jacqueline. "Generalized condensers and conformal properties of riemannian manifolds with at least two ends." Séminaire de théorie spectrale et géométrie 17 (1998-1999): 27-46. <http://eudml.org/doc/114434>.

@article{Ferrand1998-1999,
author = {Ferrand, Jacqueline},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {quasiconformal mapping; quasiconformal automorphism; conformal potential theory; quasiregular mapping; condensers; -harmonic function},
language = {eng},
pages = {27-46},
publisher = {Institut Fourier},
title = {Generalized condensers and conformal properties of riemannian manifolds with at least two ends},
url = {http://eudml.org/doc/114434},
volume = {17},
year = {1998-1999},
}

TY - JOUR
AU - Ferrand, Jacqueline
TI - Generalized condensers and conformal properties of riemannian manifolds with at least two ends
JO - Séminaire de théorie spectrale et géométrie
PY - 1998-1999
PB - Institut Fourier
VL - 17
SP - 27
EP - 46
LA - eng
KW - quasiconformal mapping; quasiconformal automorphism; conformal potential theory; quasiregular mapping; condensers; -harmonic function
UR - http://eudml.org/doc/114434
ER -

References

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  3. [F2] FERRAND J. - Conformal capacities and conformally invariant functions on Riemannian manifolds, Geom. dedicata, 61 ( 1996), 103-120; summed up in C.R. Acad. Sci. Paris Sér.I Math. 218 (1994). 213-216. Zbl0858.53009MR1389640
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  5. [F4] FERRAND J. - Convergence and degeneration of quasiconformal maps of Riemannian manifolds, J. Analyse Math., 69 ( 1996), 1-24; summed up in C.R. Acad. Sci. Paris Sér.I Math. 319 ( 1994), 437-440. Zbl0871.53031MR1296768
  6. [F5] FERRAND J. - Conditions d'existence et propriétés d'une métrique conformément invariante sur les variétés riemanniennes non compactes, Analysis and topology, World Scientific, Singapore; London, 1998. Zbl0951.53026MR1667816
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  10. [HKM] HEINONEN J, KILPELÄINEN T. and MARTIO O. - Nonlinear Potential Theory of degenerate elliptic equations, Oxford Math. Monographs, Oxford University Press, 1994 Zbl0780.31001MR1207810
  11. [H1] HOLOPAINEN I. - Nonlinear potenlial theory and quasiregular mappings on Riemannian manifolds, Ann. Acad. Sci. Fenn. Ser. A.I. Math. Diss. 74 ( 1990), 1-45. Zbl0698.31010MR1052971
  12. [H2] HOLOPAINEN I. - Solutions of elliptic equations on manifolds with roughly Euclidean ends, Math. Z 217 ( 1994), 459-477. Zbl0833.58036MR1306672
  13. [HR1] HOLOPAINEN I. and RICKMAN S. - A Picard type theorems for quasiregular mappings of Rn into n-manifolds with many ends, Rev. Math. Iberoamericana 8 ( 1992), 131-148. Zbl0763.30006MR1191342
  14. [HR2] HOLOPAINEN I. and RICKMAN S. - Classification of Riemannian manifolds in nonlinear potential theory, Potential Analysis 2 ( 1993), 37-66. Zbl0771.53019MR1245236
  15. [HR3] HOLOPAINEN I. and RICKMAN S. - Ricci curvature, Harnack functions and Picard type theorems for quasiregular mappings, Analysis and topology, World Scientific, Singapore, London, 1998. Zbl0945.30022MR1667818
  16. [M] MOSTOW G.D. - Quasiconformal mappings in n-space and the rigidity of hyperbolic space forms, Inst. Hautes Études Sci. Publ. Math.34 ( 1968), 53-104. Zbl0189.09402MR236383
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  18. [Z] ZIPPIN L. - Two-ended topological groups, Proc. Ann. Math. Soc. I ( 1950), 309-315. Zbl0045.31203MR36241

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