Results 241 to 250 of about 99,297 (282)

Topological affine planes with affine connections

advg, 2005
Abstract We consider the question whether the system of lines of a two-dimensional topological plane can be described as the system of geodesics of a Riemannian metric or an affine connection. In [4] we have shown that non-classical compact projective planes do not admit Riemannian metrics.
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Material Affine Connections for Growing Solids

Lobachevskii Journal of Mathematics, 2020
The paper provides a geometric description of simple materials and growing solids with a special focus on their homogeneity properties. The aim of the authors is to address a very important issue in continuum mechanics: Are first gradient models (simple materials) of elastic solids sufficient for a consistent description of deformable bodies? The paper
Lychev, S. A., Koifman, K. G.
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Affine Connections and Geodesics

2021
In a general Riemann space the concepts of straight lines and parallel vectors must be generalized from those familiar in Euclidian geometry. The fundamental objects needed for the generalization are affine connections. With affine connections we are naturally led to a deeper view of spacetime and the behavior of objects in it.
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Affine Connection Control Systems

IFAC Proceedings Volumes, 2000
Abstract The affine connection formalism provides a useful framework for the investigation of a large class of mechanical systems. Mechanical systems with kinetic energy Lagrangians and possibly with nonholonomic constraints are fit naturally into the formalism, and some results are stated in the areas of controllability and optimal control for ...
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Generalised connections on affine lie algebroids

Reports on Mathematical Physics, 2003
The author gives a geometric model for a certain class of first order differential equations on an affine bundle, called pseudo-SODE, which are a generalization of the concept of second order differential equations. This kind of equations are related with a sort of generalization of the concept of connection.
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On affine Osserman connections

IMHOTEP Mathematical Journal
An affine manifold (M, ∇) is Osserman if the eigenvalues of the affine Jacobi operators vanishe. In this paper, explicit examples of affine Osserman connections on 3 and 4-manifolds are constructed and their applications are given.
Hassirou, Mouhamadou, Moundio, Boubacar, Toudou, Issa Ousmane   +2 more
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce, Lorenzo Cohen, Karen M Mustian   +2 more
exaly  

Affine connections

2022
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Metrizability of affine connections

1997
An affine connection \(\Gamma\) on a vector bundle is called Riemann metrizable if there exists a Riemannian metric which preserves the scalar product of vector fields parallelly displaced with respect to \(\Gamma\). Let \(\eta\) be a vector bundle with the fibre \(V^r\) endowed with an affine connection \(H_\eta\). First, an affine connection \(H_\mu\)
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On Subprojective Affine Connections

Indagationes Mathematicae (Proceedings), 1953
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