Results 1 to 10 of about 434,184 (240)
Spherical geometry and integrable systems [PDF]
, 2012 We prove that the cosine law for spherical triangles and spherical tetrahedra defines integrable systems, both in the sense of multidimensional consistency and in the sense of dynamical systems.Comment: 15 pages, 5 ...
A Doliwa +15 more
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Spherical subcategories in algebraic geometry [PDF]
, 2016 We study objects in triangulated categories which have a two-dimensional graded endomorphism algebra. Given such an object, we show that there is a unique maximal triangulated subcategory, in which the object is spherical.
Hochenegger, Andreas +2 more
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Different geometries for special relativity [PDF]
, 2009 This paper introduces a different time-measuring convention for special relativity (SR), where a time interval t can be measured by dc, the distance traveled from an origin by the spherical wave-front of a light pulse c. Adoption of this convention leads
Crabbe, A
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Proceedings of the Edinburgh Mathematical Society, 1883 The object of this paper is to bring together the principal properties of figures described on the surface of the sphere that can be established without the use of Solid Geometry or of Trigonometry. The following properties of the spherical surface, which correspond to the definitions and axioms in Plane Geometry, are assumed. They may be considered
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The phase structure of Causal Dynamical Triangulations with toroidal spatial topology [PDF]
, 2018 We investigate the impact of topology on the phase structure of four-dimensional Causal Dynamical Triangulations (CDT). Using numerical Monte Carlo simulations we study CDT with toroidal spatial topology.
Ambjørn, Jan +4 more
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Enhanced temperature uniformity by tetrahedral laser heating [PDF]
, 2004 emperature profile on a spherical sample that is heated by laser beams in various geometries while processed in vacuum is analyzed. Sample heating by one or four laser beams was considered.
Bossuyt, Sven +5 more
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Compressible MHD in Spherical Geometry [PDF]
International Astronomical Union Colloquium, 1991 AbstractThe generation of magnetic field by a conducting, compressible fluid inside a spherical shell is studied by direct numerical simulations. A pseudo-spectral method is used in order to resolve accurately all the scales present in the problem. The range of parameters considered is the following: a unit Prandtl number, Rayleigh numbers up to 100 ...
VALDETTARO, LORENZO, M. Meneguzzi
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Embedding spherical spacelike slices in a Schwarzschild solution
, 2003 Given a spherical spacelike three-geometry, there exists a very simple algebraic condition which tells us whether, and in which, Schwarzschild solution this geometry can be smoothly embedded.
Bartnik R +6 more
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Lectures on wonderful varieties [PDF]
, 2017 These notes are an introduction to wonderful varieties. We discuss some general results on their geometry, their role in the theory of spherical varieties, several aspects of the combinatorics arising from these varieties, and some ...
Pezzini, Guido
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Statistical Models on Spherical Geometries [PDF]
Physical Review Letters, 1995 We use a one-dimensional random walk on $D$-dimensional hyper-spheres to determine the critical behavior of statistical systems in hyper-spherical geometries. First, we demonstrate the properties of such a walk by studying the phase diagram of a percolation problem.
Boettcher, S., Moshe, M.
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