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Mostrando ítems 1-10 de 2101
Quantifier elimination for elementary geometry and elementary affine geometry
(Wiley VCH Verlag, 2012-11)
We introduce new first-order languages for the elementary n-dimensional geometry and elementary n-dimensional affine geometry (n ≥ 2), based on extending FO(β≡) and FO(β), respectively, with new function symbols. Here, β ...
The Geometry of Locally Symmetric Affine Surfaces
(Springer, 2018-03)
We examine the local geometry of affine surfaces which are locally symmetric. There are six non-isomorphic local geometries. We realize these examples as type A, type B, and type C geometries using a result of Opozda and ...
Physics, philosophy, and the foundations of geometryPhysics, philosophy, and the foundations of geometry
(Universidad de Puerto Rico, Recinto de Río Piedras, 2002)
Relativistic quantum geometry from a 5D geometrical vacuum: Gravitational waves from preinflation
(Elsevier B.V., 2019-09)
In this work we introduce Relativistic Quantum Geometry (RQG) on a Modern Kaluza–Klein theory by studying the boundary conditions on a extended Einstein–Hilbert action for a 5D vacuum defined on a 5D (background) Riemannian ...
Analysis of the Spb method for geometries where ηpl depends on a/W
(Elsevier, 2021-01)
Since its proposal, the simplified Spb method has been successfully applied to the fracture toughness evaluation of metallic and polymer materials. However, some points of this methodology remain unclear, like the applicability ...
The polynomial method over varieties
(Springer, 2020-11)
We establish sharp estimates that adapt the polynomial method to arbitrary varieties. These include a partitioning theorem, estimates on polynomials vanishing on fixed sets and bounds for the number of connected components ...
Some relationships between the geometry of the tangent bundle and the geometry of the Riemannian base manifold
(Publication Committee for the Tokyo Journal of Mathematics, 2012-01)
We compute the curvature tensor of the tangent bundle of a Riemannian manifold endowed with a natural metric and we get some relationships between the geometry of the base manifold and the geometry of the tangent bundle.
A variational formulation for relativistic mechanics based on Riemannian geometry and its application to the quantum mechanics context
(Universidade Federal de Santa Maria, 2018)