Articles with "affine connection" as a keyword



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Reconstruction of an Affine Connection in Generalized Fermi Coordinates

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Published in 2017 at "Bulletin of the Malaysian Mathematical Sciences Society"

DOI: 10.1007/s40840-016-0316-4

Abstract: On a manifold with affine connection, we introduce special pre-semigeodesic charts which generalize Fermi coordinates. We use a version of the Peano’s–Picard’s-Cauchy-like Theorem on the initial values problem for systems of ODSs. In a fixed… read more here.

Keywords: reconstruction affine; connection; generalized fermi; connection generalized ... See more keywords
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On Equivalence between Kinetic Equations and Geodesic Equations in Spaces with Affine Connection

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Published in 2023 at "Symmetry"

DOI: 10.3390/sym15040905

Abstract: Discrete kinetic equations describing binary processes of agglomeration and fragmentation are considered using formal equivalence between the kinetic equations and the geodesic equations of some affinely connected space A associated with the kinetic equation and… read more here.

Keywords: kinetic equations; equations geodesic; geodesic equations; equivalence kinetic ... See more keywords