Results 231 to 240 of about 99,297 (282)
Spatial correlation at the boson peak frequency in amorphous materials. [PDF]
Li XY +7 more
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Information-Theoretical Analysis of a Transformer-Based Generative AI Model. [PDF]
Deb M, Ogunfunmi T.
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Multi-Scale Spatiotemporal Feature Enhancement and Recursive Motion Compensation for Satellite Video Geographic Registration. [PDF]
Geng Y, Lv J, Huang S, Wang B.
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How individual vigor shapes human-human physical interaction
Verdel D, Berret B, Burdet E.
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Acta Applicandae Mathematica, 1999
The author abstracts the properties of exterior forms \(\{\bigwedge^\star {\mathcal E}, d\}\) where \({\mathcal E}^\star\) is the tensor algebra generated by the dual \(C^\infty (M)\)-module \({\mathcal E}\) of 1-forms on a differentiable manifold \(M\), to obtain geometric properties. In his words: ``An affine connection is traditionally regarded as a
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The author abstracts the properties of exterior forms \(\{\bigwedge^\star {\mathcal E}, d\}\) where \({\mathcal E}^\star\) is the tensor algebra generated by the dual \(C^\infty (M)\)-module \({\mathcal E}\) of 1-forms on a differentiable manifold \(M\), to obtain geometric properties. In his words: ``An affine connection is traditionally regarded as a
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On affine maps between affinely connected manifolds
Geometriae Dedicata, 1990Every affine map between two affinely connected manifolds is the composition of an affine submersion and an affine immersion; and the inverse image of an autoparallel submanifold by such maps is the union of autoparallel submanifolds. Furthermore, the Lie group of all affine transformations of an affinely connected manifold carries the compact-open ...
Martin Linden, Helmut Reckziegel
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Almost Geodesics and Special Affine Connection
Results in Mathematics, 2020An almost geodesic of an affine connection \(\nabla\) on a manifold is a curve \(x(t)\) so that \[ \nabla^2_{\dot{x}}\dot{x}=a\nabla_{\dot{x}} \dot{x}+b\dot{x}, \] for some real-valued continuous functions \(a(t),b(t)\). The authors consider a curve in the Euclidean space and a translation invariant affine connection on the Euclidean space.
Olga Belova, Josef Mikeš
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2021
Abstract The connection and the covariant derivative are treated. Connection coefficients are introduced in their role of expressing the change in the coordinate basis vectors between neighbouring points. The covariant derivative of a vector is then defined.
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Abstract The connection and the covariant derivative are treated. Connection coefficients are introduced in their role of expressing the change in the coordinate basis vectors between neighbouring points. The covariant derivative of a vector is then defined.
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Codazzi-Equivalent Affine Connections
Results in Mathematics, 2009We extend the concept of Codazzi-equivalence from Riemannian metrics in [14] to affine connections. Applications to relative hypersurface theory show that this concept simplifies the investigation of pairs of hypersurfaces with parallel normalization, moreover we get a better understanding of the affine Gaus maps. We give a new proof of Calabi’s global
Angela Schwenk-Schellschmidt, Udo Simon
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