Spherical Cr Manifolds With Amenable Holonomy

Miner, Robert R.

doi:10.1142/s0129167x9000023x

Cited by 18 publications

(17 citation statements)

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“…It is known [Min90] that if a closed 3-manifold M has an almost solvable fundamental group and M admits a locally spherical CR-structure, then M is modeled either on § 3 or § 2 x JR. or on the Nil-geometry. …”

Section: Beyond the Hyperbolization Theoremmentioning

confidence: 99%

Hyperbolic Manifolds and Discrete Groups

Kapovich¹

2010

313

355

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Many of the original research and survey monographs in pure and been groundbreaking and have come to be regarded as foundational to the subject. Through the MBC Series, a select number of these modern classics, entirely uncorrected, are being re-released in accessible to new generations of students, scholars, and researchers. paperback (and as eBooks) to ensure that these treasures remain applied mathematics published by Birkhäuser in recent decades have

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Section: Beyond the Hyperbolization Theoremmentioning

confidence: 99%

Hyperbolic Manifolds and Discrete Groups

Kapovich¹

2010

313

355

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“…The supporting examples were obtained by Fried (Euclidean similarity manifold) [5] and Miner (Heisenberg similarity manifold) [17]. However, there is an embedding of Sim(L) into the complex affine group Aff (C 2n+1 ) (cf.…”

Section: Then M Is Biholomorphic To Either a Complex Contact Iwasawa mentioning

confidence: 99%

Infranilmanifolds which admit complex contact structures

Kamishima

2015

European Journal of Mathematics

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We study the complex nilpotent Lie group L which admits a complex contact structure and whose real subgroup admits a (real) contact structure. The group L is called the Iwasawa complex nilpotent Lie group. The homogeneous model of complex contact similarity geometry is introduced as (L, Sim(L)) where Sim(L) is a transitive group of complex contact similarity transformations of L. A smooth manifold locally modelled on this geometry is said to be a complex contact similarity manifold. We show that a compact complex contact similarity manifold can be determined under the conditions of developing pair.

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“…As a spherical CR-structure, S 2 +1 − {∞} is identified with the Heisenberg Lie group N where 1 → R → N −→ C → 1 is a central group extension. (For instance, see [17] about this identification of CR-manifolds.) Since the stabilizer PO(2 + 2 2) ∞ is R 2 +2…”

Section: Fefferman-lorentz Structure Of Parabolic Typementioning

confidence: 99%

On conformally flat Lorentz parabolic manifolds

Kamishima

2014

Open Mathematics

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Abstract:We introduce conformally flat Fefferman-Lorentz manifold of parabolic type as a special class of Lorentz parabolic manifolds. It is a smooth (2 + 2)-manifold locally modeled on U( + 1 1) S 2 +1 1 . As the terminology suggests, when a Fefferman-Lorentz manifold M is conformally flat, M is a Fefferman-Lorentz manifold of parabolic type. We shall discuss which compact manifolds occur as a conformally flat Fefferman-Lorentz manifold of parabolic type. MSC:53C50, 57S25, 53A30, 57S30

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Spherical Cr Manifolds With Amenable Holonomy

Cited by 18 publications

References 0 publications

Hyperbolic Manifolds and Discrete Groups

Hyperbolic Manifolds and Discrete Groups

Infranilmanifolds which admit complex contact structures

On conformally flat Lorentz parabolic manifolds

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