Results 31 to 40 of about 1,286,020 (149)

Lobachevsky geometry of (super)conformal mechanics

open access: yes, 2008
We give a simple geometric explanation for the similarity transformation mapping one-dimensional conformal mechanics to free-particle system. Namely, we show that this transformation corresponds to the inversion of the Klein model of Lobachevsky space ...
Akulov   +29 more
core   +1 more source

Global properties of warped solutions in General Relativity [PDF]

open access: yes, 1998
Assuming the four-dimensional space-time to be a general warped product of two surfaces we reduce the four-dimensional Einstein equations to a two-dimensional problem which can be solved.
Cai   +24 more
core   +4 more sources

Dimer models and conformal structures

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala   +3 more
wiley   +1 more source

Minimal surfaces and entanglement entropy in anti-de Sitter space

open access: yes, 2014
According to Ryu and Takayanagi, the entanglement entropy in conformal field theory (CFT) is related through the AdS/CFT correspondence to the area of a minimal surface in the bulk.
Krtous, Pavel, Zelnikov, Andrei
core   +1 more source

Covariant Formulation of the Invariant Measure for the Mixmaster Dynamics [PDF]

open access: yes, 2001
We provide a Hamiltonian analysis of the Mixmaster Universe dynamics showing the covariant nature of its chaotic behavior with respect to any choice of time variable.
Belinski V. A.   +6 more
core   +3 more sources

Curvature‐dimension condition of sub‐Riemannian α$\alpha$‐Grushin half‐spaces

open access: yesTransactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We provide new examples of sub‐Riemannian manifolds with boundary equipped with a smooth measure that satisfy the RCD(K,N)$\mathsf {RCD}(K, N)$ condition. They are constructed by equipping the half‐plane, the hemisphere and the hyperbolic half‐plane with a two‐dimensional almost‐Riemannian structure and a measure that vanishes on their ...
Samuël Borza, Kenshiro Tashiro
wiley   +1 more source

TTV Species Diversity as a Novel Biomarker of Immune Dysregulation in Aging

open access: yesJournal of Medical Virology, Volume 97, Issue 11, November 2025.
ABSTRACT Torquetenovirus (TTV) is a prevalent virus whose clinical significance remains unclear, potentially linked to immunosenescence. This study examines TTV species in relation to immune impairment, inflammation, and cellular stress response in aging.
Federica Novazzi   +35 more
wiley   +1 more source

An infinitesimally nonrigid polyhedron with nonstationary volume in the Lobachevsky 3-space

open access: yes, 2011
We give an example of an infinitesimally nonrigid polyhedron in the Lobachevsky 3-space and construct an infinitesimal flex of that polyhedron such that the volume of the polyhedron isn't stationary under the flex.Comment: 10 pages, 2 Postscript ...
A. D. Alexandrov   +9 more
core   +1 more source

Fermat Dynamics, Matrix Arithmetics, Finite Circles, and Finite Lobachevsky Planes [PDF]

open access: yesFunctional Analysis and Its Applications, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Asymptotics of quantum 6j$6j$‐symbols and generalized hyperbolic tetrahedra

open access: yesJournal of Topology, Volume 18, Issue 3, September 2025.
Abstract We establish the geometry behind the quantum 6j$6j$‐symbols under only the admissibility conditions as in the definition of the Turaev–Viro invariants of 3‐manifolds. As a classification, we show that the 6‐tuples in the quantum 6j$6j$‐symbols give in a precise way to the dihedral angles of (1) a spherical tetrahedron, (2) a generalized ...
Giulio Belletti, Tian Yang
wiley   +1 more source

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