Results 41 to 50 of about 399,425 (214)
The Generalised Complex Geometry of $(p,q)$ Hermitian Geometries [PDF]
, 2018 We define $(p,q)$ hermitian geometry as the target space geometry of the two dimensional $(p,q)$ supersymmetric sigma model. This includes generalised K\"{a}hler geometry for $(2,2)$, generalised hyperk\"{a}hler geometry for $(4,2)$, strong K\"{a}hler with torsion geometry for $(2,1)$ and strong hyperk\"{a}hler with torsion geometry for $(4,1)$.
arxiv +1 more source
The fourth dimension: from its spatial nature in Euclidean geometry to a time-like component of non-Euclidean manifolds [PDF]
Revista Brasileira de Ensino de FísicaIn this article, the evolution of the ideas about the fourth spatial dimension is presented, starting from those which come out within classical Euclidean geometry and going through those arose in the framework of non-Euclidean geometries, like those of ...
José Maria Filardo Bassalo +2 more
doaj +3 more sources
From Free Fields to AdS -- Thermal Case
, 2005 We analyze the reorganization of free field theory correlators to closed string amplitudes investigated in hep-th/0308184 hep-th/0402063 hep-th/0409233 hep-th/0504229 in the case of Euclidean thermal field theory and study how the dual bulk geometry is ...
C. Itzykson +12 more
core +5 more sources
An Overview of Existing Problems in Teaching the Science ”Fundamentals of Geometry”
International Journal of Social Sciences & Educational StudiesThis paper goes into the challenges faced in the teaching of geometry, emphasizing its foundational principles. It investigates an alternate viewpoint by relating geometric principles to verses from the Holy Quran, implying that geometric conceptions ...
Safarov Tulqin Nazarovich +1 more
doaj +1 more source
Generalization of the maximum entropy principle for curved statistical manifolds
Physical Review Research, 2021 The maximum entropy principle (MEP) is one of the most prominent methods to investigate and model complex systems. Despite its popularity, the standard form of the MEP can only generate Boltzmann-Gibbs distributions, which are ill-suited for many ...
Pablo A. Morales, Fernando E. Rosas
doaj +1 more source
Intrinsic Inference on the Mean Geodesic of Planar Shapes and Tree Discrimination by Leaf Growth [PDF]
, 2010 For planar landmark based shapes, taking into account the non-Euclidean geometry of the shape space, a statistical test for a common mean first geodesic principal component (GPC) is devised.
Huckemann, Stephan
core +1 more source
MoebInv: C++ libraries for manipulations in non-Euclidean geometry
SoftwareX, 2020 The introduced package MoebInv contains two C++ libraries for symbolic, numeric and graphical manipulations in non-Euclidean geometry. The first library cycle implements basic geometric operations on cycles, which are the zero sets of certain polynomials
Vladimir V. Kisil
doaj
Lazy orbits: an optimization problem on the sphere
, 2017 Non-transitive subgroups of the orthogonal group play an important role in the non-Euclidean geometry. If $G$ is a closed subgroup in the orthogonal group such that the orbit of a single Euclidean unit vector does not cover the (Euclidean) unit sphere ...
Vincze, Csaba
core +1 more source
The two-sphere partition function from timelike Liouville theory at three-loop order
Journal of High Energy Physics, 2022 While the Euclidean two-dimensional gravitational path integral is in general highly fluctuating, it admits a semiclassical two-sphere saddle if coupled to a matter CFT with large and positive central charge. In Weyl gauge this gravity theory is known as
Beatrix Mühlmann
doaj +1 more source
Universe, 2018 The non-Euclidean geometry created by Bolyai, Lobachevsky and Gauss has led to a new physical theory—general relativity. In due turn, a correct mathematical treatment of the cosmological problem in general relativity has led Friedmann to a discovery of ...
Vladimir Soloviev
doaj +1 more source