Cannon-Thurston Maps, i-bounded Geometry and a Theorem of McMullen

Mahan Mj[1]

  • [1] RKM Vivekananda University School of Mathematical Sciences P.O. Belur Math Dt. Howrah, WB-711202 (India)

Séminaire de théorie spectrale et géométrie (2009-2010)

  • Volume: 28, page 63-107
  • ISSN: 1624-5458

Abstract

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The notion of i-bounded geometry generalises simultaneously bounded geometry and the geometry of punctured torus Kleinian groups. We show that the limit set of a surface Kleinian group of i-bounded geometry is locally connected by constructing a natural Cannon-Thurston map.

How to cite

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Mj, Mahan. "Cannon-Thurston Maps, i-bounded Geometry and a Theorem of McMullen." Séminaire de théorie spectrale et géométrie 28 (2009-2010): 63-107. <http://eudml.org/doc/116466>.

@article{Mj2009-2010,
abstract = {The notion of i-bounded geometry generalises simultaneously bounded geometry and the geometry of punctured torus Kleinian groups. We show that the limit set of a surface Kleinian group of i-bounded geometry is locally connected by constructing a natural Cannon-Thurston map.},
affiliation = {RKM Vivekananda University School of Mathematical Sciences P.O. Belur Math Dt. Howrah, WB-711202 (India)},
author = {Mj, Mahan},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {Cannon-Thurston map; Kleinian group; hyperbolic 3-manifold; limit set},
language = {eng},
pages = {63-107},
publisher = {Institut Fourier},
title = {Cannon-Thurston Maps, i-bounded Geometry and a Theorem of McMullen},
url = {http://eudml.org/doc/116466},
volume = {28},
year = {2009-2010},
}

TY - JOUR
AU - Mj, Mahan
TI - Cannon-Thurston Maps, i-bounded Geometry and a Theorem of McMullen
JO - Séminaire de théorie spectrale et géométrie
PY - 2009-2010
PB - Institut Fourier
VL - 28
SP - 63
EP - 107
AB - The notion of i-bounded geometry generalises simultaneously bounded geometry and the geometry of punctured torus Kleinian groups. We show that the limit set of a surface Kleinian group of i-bounded geometry is locally connected by constructing a natural Cannon-Thurston map.
LA - eng
KW - Cannon-Thurston map; Kleinian group; hyperbolic 3-manifold; limit set
UR - http://eudml.org/doc/116466
ER -

References

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