On the existence of an uncountable infinity of asymptotic structures on 𝐇 2

Renata Grimaldi

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1989)

  • Volume: 83, Issue: 1, page 147-151
  • ISSN: 1120-6330

Abstract

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It is shown the existence of an uncountable infinity of asymptotic structures (i.e. equivalence's classes of quasi-isometric riemannian metrics) on the conformal class of the hyperbolic plan 𝐇 2 .

How to cite

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Grimaldi, Renata. "Sur l'existence d'une infinité continue de structures asymptotiques sur $\mathbf{H}^{2}$." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 83.1 (1989): 147-151. <http://eudml.org/doc/287455>.

@article{Grimaldi1989,
author = {Grimaldi, Renata},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Riemannian metrics; Quasi-isometries; Growth-type; quasi-isometries; growth-type; asymptotic structures},
language = {fre},
month = {12},
number = {1},
pages = {147-151},
publisher = {Accademia Nazionale dei Lincei},
title = {Sur l'existence d'une infinité continue de structures asymptotiques sur $\mathbf\{H\}^\{2\}$},
url = {http://eudml.org/doc/287455},
volume = {83},
year = {1989},
}

TY - JOUR
AU - Grimaldi, Renata
TI - Sur l'existence d'une infinité continue de structures asymptotiques sur $\mathbf{H}^{2}$
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1989/12//
PB - Accademia Nazionale dei Lincei
VL - 83
IS - 1
SP - 147
EP - 151
LA - fre
KW - Riemannian metrics; Quasi-isometries; Growth-type; quasi-isometries; growth-type; asymptotic structures
UR - http://eudml.org/doc/287455
ER -

References

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  1. GOBILLON, C., 1986. Feuilletages. Etudes géométriques. Vol. II, Publications de l'I.R.M.A. de Strasbourg. 
  2. GRIMALDI, R., 1983. Sulla geometria asintotica delle foglie di una foliazione. Rend. Circ. Mat. Palermo, s. II, 32: 199-207. Zbl0529.57013MR729095DOI10.1007/BF02844830
  3. GRIMALDI, R., 1986. Non esistenza di cusps nella geometria asintotica delle foglie. Atti Accad. Lincei, Rend. Cl. Sc. Fis. Mat. Natur., s. VIII, LXXX, fasc. 5: 292-297. Zbl0679.57014MR977140
  4. GRIMALDI, R., 1988. Sur l'existence d'une infinité continue de structures asymptotiques sur ℝ 2 . Jour. de Math. pures et appliquées, 67: 405-410. Zbl0619.53024MR978578
  5. GRIMALDI, R.. Sur l'existence d'une infinité continue de structures asymptotiques sur ℝ n . Atti Accad. Lincei, Rend. Cl. Sc. Fis. Mat. Natur. (sous presse). Zbl0743.53025
  6. HECTOR, G., 1978. Croissance des feuilletages presque sans holonomie. Lecture Notes in Math., 652: 141-182, Springer-Verlag. Zbl0393.57005MR505659
  7. O'NEILL, B., 1966. Elementary differential geometry. Academic Press. Zbl0971.53500MR203595
  8. PHILLIPS, A. - SULLIVAN, D., 1981. Geometry of leaves. Topology, 20: 209-218. Zbl0454.57016MR605659DOI10.1016/0040-9383(81)90039-2

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