Results 11 to 20 of about 59,154 (224)

Triangulated Surfaces in Twistor Space: A Kinematical Set up for Open/Closed String Duality [PDF]

, 2006
We exploit the properties of the three-dimensional hyperbolic space to discuss a simplicial setting for open/closed string duality based on (random) Regge triangulations decorated with null twistorial fields.
C. Petronio, Claudio Dappiaggi, D. Gaiotto, E. Looijenga, E. Witten, F. Costantino, G. Mondello, H. Hamber, H. Murakami, H. Murakami, J. Ambjörn, J. Ambjörn, J.R. David, K. Krasnov, K. Strebel, M. Carfora, M. Mirzakhani, M. Mirzakhani, M. Mulase, Mauro Carfora, O. Aharony, P. Baird, P. Zograf, R. Benedetti, R. Gopakumar, R. Kaufmann, R.C. Penner, S. Baseilhac, S. Grushevsky, S. Moroianu, S. Moroianu, T. Ohtsuki (ed), Valeria L Gili, W.P. Thurston, Y.I. Manin   +34 more
core   +5 more sources

Determination of surfaces in three-dimensional Minkowski and Euclidean spaces based on solutions of the Sinh-Laplace equation

International Journal of Mathematics and Mathematical Sciences, 2005
The relationship between solutions of the sinh-Laplace equation and the determination of various kinds of surfaces of constant Gaussian curvature, both positive and negative, will be investigated here.
P. Bracken
semanticscholar   +1 more source

Ellipsoidal shapes in general relativity: general definitions and an application [PDF]

, 2003
A generalization of the notion of ellipsoids to curved Riemannian spaces is given and the possibility to use it in describing the shapes of rotating bodies in general relativity is examined.
Bradley M, Chandrasekhar S, Dyer C C, Ferwagner R, Gergely L Á, Geroch R, Geroch R, Herlt E, J zsef Zsigrai, Kramer D, Krasinski A, Lukács B, Maison D, Marklund M, Misner C, Musgrave P, Neugebauer G, Neugebauer G, Neugebauer G, Perjés Z, Rácz I, Rácz I, Rácz I, Rácz I, Stewart J M, Vacaru S I, Vacaru S I, Vacaru S I, Vacaru S I, Vacaru S I, Vacaru S I, Zsigrai J, Zsigrai J   +32 more
core   +3 more sources

Fuzzy Euclidean wormholes in anti-de Sitter space [PDF]

, 2018
This paper is devoted to an investigation of Euclidean wormholes made by fuzzy instantons. We investigate the Euclidean path integral in anti-de Sitter space. In Einstein gravity, we introduce a scalar field with a potential.
Kang, Subeom, Yeom, Dong-han
core   +2 more sources

Isotopic tiling theory for hyperbolic surfaces [PDF]

, 2020
In this paper, we develop the mathematical tools needed to explore isotopy classes of tilings on hyperbolic surfaces of finite genus, possibly nonorientable, with boundary, and punctured.
Evans, Myfanwy E., Kolbe, Benedikt
core   +3 more sources

Classification results on surfaces in the isotropic 3-space [PDF]

, 2016
The isotropic 3-space I^3 which is one of the Cayley--Klein spaces is obtained from the Euclidean space by substituting the usual Euclidean distance with the isotropic distance. In the present paper, we give several classifications on the surfaces in I^3
Aydin, Muhittin Evren
core   +2 more sources

Black Hole Thermodynamics and Riemann Surfaces [PDF]

, 2003
We use the analytic continuation procedure proposed in our earlier works to study the thermodynamics of black holes in 2+1 dimensions. A general black hole in 2+1 dimensions has g handles hidden behind h horizons.
Aminneborg S, Aminneborg S, Banados M, Brill D, Brill D, Carlip S, Hawking S, Kirill Krasnov, Krasnov K, Krasnov K, Krasnov K, Maskit B, Matsuzaki K, Takhtajan L, Takhtajan L, Wolpert S   +15 more
core   +3 more sources

Moduli spaces of meromorphic functions and determinant of Laplacian [PDF]

, 2014
The Hurwitz space is the moduli space of pairs $(X,f)$ where $X$ is a compact Riemann surface and $f$ is a meromorphic function on $X$. We study the Laplace operator $\Delta^{|df|^2}$ of the flat singular Riemannian manifold $(X,|df|^2)$.
L. Hillairet, Victor Kalvin, A. Kokotov
semanticscholar   +1 more source

Connecting geodesics and security of configurations in compact locally symmetric spaces [PDF]

, 2005
A pair of points in a riemannian manifold makes a secure configuration if the totality of geodesics connecting them can be blocked by a finite set. The manifold is secure if every configuration is secure.
E. Gutkin, E. Gutkin, Eugene Gutkin, G.A. Hedlund, J. Rauch, J.A. Wolf, O. Loos, P. Eberlein, P. Eberlein, R. Bott, S. Buyalo, S. Helgason, S. Helgason, Viktor Schroeder, W.A. Veech, W.A. Veech   +15 more
core   +4 more sources

Surface/State Correspondence as a Generalized Holography [PDF]

, 2015
We propose a new duality relation between codimension two space-like surfaces in gravitational theories and quantum states in dual Hilbert spaces. This surface/state correspondence largely generalizes the idea of holography such that we do not need to ...
Miyaji, Masamichi, Takayanagi, Tadashi
core   +2 more sources