Löbell manifolds revised.

Mednykh, A.D.; Vesnin, A.Yu.

Displaying similar documents to “Löbell manifolds revised.”

Proportionality principle for cusped manifolds

Thilo Kuessner (2007)

Archivum Mathematicum

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We give a short proof of the proportionality principle for cusped hyperbolic manifolds.

Elder siblings and the taming of hyperbolic 3-manifolds.

Freedman, Michael H., McMullen, Curtis T. (1998)

Annales Academiae Scientiarum Fennicae. Mathematica

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Traces, lengths, axes and commensurability

Alan W. Reid (2014)

Annales de la faculté des sciences de Toulouse Mathématiques

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The focus of this paper are questions related to how various geometric and analytical properties of hyperbolic 3-manifolds determine the commensurability class of such manifolds. The paper is for the large part a survey of recent work.

On the geometric boundaries of hyperbolic 4-manifolds.

Long, D.D., Reid, A.W. (2000)

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Symmetries, isometries and length spectra of closed hyperbolic three-manifolds.

Hodgson, Craig D., Weeks, Jeffrey R. (1994)

Experimental Mathematics

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Hyperbolic-like manifolds, geometrical properties and holomorphic mappings

Grzegorz Boryczka, Luis Tovar (1996)

Banach Center Publications

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The authors are dealing with the Dirichlet integral-type biholomorphic-invariant pseudodistance $ρ_{X}^{α} (z_{0}, z) []$ introduced by Dolbeault and Ławrynowicz (1989) in connection with bordered holomorphic chains of dimension one. Several properties of the related hyperbolic-like manifolds are considered remarking the analogies with and differences from the familiar hyperbolic and Stein manifolds. Likewise several examples are treated in detail.

Small hyperbolic 3-manifolds with geodesic boundary.

Frigerio, Roberto, Martelli, Bruno, Petronio, Carlo (2004)

Experimental Mathematics

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Minimum Ideal Triangulations of Hyperbolic 3-Manifolds.

C. Adams, W. Sherman (1991)

Discrete & computational geometry

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Rigidity and $L^{2}$ cohomology of hyperbolic manifolds

Gilles Carron (2010)

Annales de l’institut Fourier

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When $X = Γ ∖ ℍ^{n}$ is a real hyperbolic manifold, it is already known that if the critical exponent is small enough then some cohomology spaces and some spaces of $L^{2}$ harmonic forms vanish. In this paper, we show rigidity results in the borderline case of these vanishing results.