Results 11 to 20 of about 746,211 (185)
Differential geometry of weightings
Advances in Mathematics, 2023 We describe the notion of a \emph{weighting} along a submanifold $N\subset M$, and explore its differential-geometric implications. This includes a detailed discussion of weighted normal bundles, weighted deformation spaces, and weighted blow-ups. We give a description of weightings in terms of subbundles of higher tangent bundles, which leads us to ...
Loizides, Yiannis, Meinrenken, Eckhard
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Differential Geometry and Its Application
Axioms, 2023 We have launched a Special Issue of Axioms which focuses on the generalization of Riemannian spaces and their mappings [...]
Mića S. Stanković
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Singularities of three-dimensional billiards bounded by confocal quadrics [PDF]
Theoretical and Applied MechanicsThe problem of motion of a material point in a three-dimensional domain bounded by confocal quadrics is considered. Such a dynamical system is Liouville integrable in the piecewise-smooth sense.
Belozerov Gleb, Fomenko Anatoly
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Explicit Information Geometric Calculations of the Canonical Divergence of a Curve
Mathematics, 2022 Information geometry concerns the study of a dual structure (g,∇,∇*) upon a smooth manifold M. Such a geometry is totally encoded within a potential function usually referred to as a divergence or contrast function of (g,∇,∇*).
Domenico Felice, Carlo Cafaro
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Metrics on End-Periodic Manifolds as Models for Dark Matter
Universe, 2022 In this paper we will detail an approach to generate metrics and matter models on end-periodic manifolds, which are used extensively in the study of the exotic smooth structures of R4.
Christopher L. Duston
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Axiomatic Differential Geometry II-2: Differential Forms [PDF]
, 2013 We refurbish our axiomatics of differential geometry introduced in [Mathematics for Applications,, 1 (2012), 171-182]. Then the notion of Euclideaness can naturally be formulated.
Nishimura, Hirokazu
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ON FAMILIES IN DIFFERENTIAL GEOMETRY [PDF]
International Journal of Geometric Methods in Modern Physics, 2013 Families of objects appear in several contexts, like algebraic topology, theory of deformations, theoretical physics, etc. An unified coordinate-free algebraic framework for families of geometrical quantities is presented here, which allows one to work without introducing ad hoc spaces, by using the language of differential calculus over commutative ...
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The Theoretical Study of Kink Deformation in Graphite Based on Differential Geometric Method
Nanomaterials, 2022 Kink deformation is often observed in materials with laminated layers. Graphite composed of stacked graphene layers has the unique laminated structure of carbon nanomaterials.
Xiao-Wen Lei +2 more
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Heritage, 2021 Assessment and evaluation of damage in cultural heritage structures are conducted primarily using nondestructive and noncontact methods. One common deployment is laser scanners or ground-based lidar scanners that produce a point cloud containing ...
Richard L. Wood +1 more
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Machines, 2023 The correct evaluation of the curvatures of ball screw grooves allows the accurate design of the constructive parameters of this mechanism and enhancing its performance.
Antonio Carlo Bertolino +3 more
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