The Geometries of 3-Manifoldsdoi:10.1112/blms/15.5.401Peter ScottBull. London Math. Soc
Van Proeyen, Tits–Satake projections of homogeneous special geometries. Class. Quantum Gravity, 24 (2006), pp. 27–78. https://doi.org/10.1088/0264-9381/24/1/003 [hep-th/0606173] L. Andrianopoli, R. D’Auria, S. Ferrara, U-duality and central charges in various dimensions revisited...
Topics covered will include an introduction to Geometrization (3–dimensional geometries, prime decomposition of 3–manifolds, incompressible tori, Thurston's geometrization conjecture on 3–manifolds), Ricci Flow (both geometric and analytic aspects), Minimal Surfaces and various fundamental results in t...
\(\beta =-1/3\) . the three-dimensional horizons are considered to have bianchi types ii and iii symmetries, and hence the horizons are modeled on two types of thurston 3-geometries, namely the nil geometry and \(h^2\times r\) . being foliated by compact 3-manifolds, the horizons ...
The Srni lectures on non-integrable geometries with torsion This review article intends to introduce the reader to non-integrable geometric structures on Riemannian manifolds and invariant metric connections with to... I Agricola - 《Archivum Mathematicum》 被引量: 244发表: 2006年 Lectures on Mirror...
non-Euclidean geometry- (mathematics) geometry based on axioms different from Euclid's; "non-Euclidean geometries discard or replace one or more of the Euclidean axioms" Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc. ...
Wave function of the Universe The quantum state of a spatially closed universe can be described by a wave function which is a functional on the geometries of compact three-manifolds and... JB Hartle,SW Hawking 被引量: 3086发表: 1983年 Uniqueness of the tunneling wave function of the ...
homothetic transformation (redirected fromHomothetic) homothetic transformation [¦häm·ə‚thed·ik ‚tranz·fər′mā·shən] (mathematics) A transformation that leaves the origin of coordinates fixed and multiplies the distance between any two points by the same fixed constant. Also kn...
Here, g denotes “geometries,” that is, equivalent classes of metrics modulo diffeomorphisms and, in the case of QCG, Weyl transformations. The space \Sigma is the space of all geometries. Although it is possible to give a mathematically precise definition of the space \Sigma , it is not ...
We investigate the causal relations in the space of states of almost commutative Lorentzian geometries. We fully describe the causal structure of a simple model based on the algebra S(R 1,1) M2(C), which has a non-trivial space of internal degrees of freedom. It turns out that the causal...