Results 41 to 50 of about 5,275 (302)
Higher Order Tangent Bundles [PDF]
Mediterranean Journal of Mathematics, 2016 The tangent bundle $T^kM$ of order $k$, of a smooth Banach manifold $M$ consists of all equivalent classes of curves that agree up to their accelerations of order $k$. For a Banach manifold $M$ and a natural number $k$ first we determine a smooth manifold structure on $T^kM$ which also offers a fiber bundle structure for $(π_k,T^kM,M)$.
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Projective manifolds whose tangent bundle is Ulrich
, 2023 International audienceIn this article, we give numerical restrictions on the Chern classes of Ulrich bundles on higher-dimensional manifolds, which are inspired by the results of Casnati in the case of surfaces.
Sergio Troncoso +7 more
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Karl Popper and the Mechanisms of Hydrogen Embrittlement
Advanced Engineering Materials, EarlyView.Representation of the beginning of loss of ductility rather than embrittlement. Small concentrations of hydrogen in a diffusible form within iron are well‐established to harm the mechanical integrity of steels. There are theories that attempt to explain the pernicious role of hydrogen.
H. K. D. H. Bhadeshia
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Quasi-Statistical Schouten–van Kampen Connections on the Tangent Bundle
Mathematics, 2023 We determine the general natural metrics G on the total space TM of the tangent bundle of a Riemannian manifold (M,g) such that the Schouten–van Kampen connection ∇¯ associated to the Levi-Civita connection of G is (quasi-)statistical.
Simona-Luiza Druta-Romaniuc
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On the restrictions of the tangent bundle of the Grassmannians [PDF]
Pacific Journal of Mathematics, 1992 Let \(X\) be a projective variety and \(Q\) a vector bundle on \(X\); let \(q\) be a surjection \[ q:\bigoplus^ m{\mathcal O}_ X\to Q\to 0 \] and put \(S=\text{Ker} q\). The author studies the deformations of \(S\) obtained by moving \(q\) in the space \(A(*,Q)\) of surjections \(\bigoplus^ m{\mathcal O}_ X\to Q\). Under some cohomological assumptions \
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Kähler manifolds with split tangent bundle [PDF]
, 2006 International audienceWe study in this paper compact kaeler manifolds whose tangent bundle splits as a sum of subbundles. Under some suitable assumption, this infetitesimal splitting G is retated whith a splitting of the universal covering
Pereira, Jorge Vitorio +3 more
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Advanced Engineering Materials, EarlyView.A two‐dimensional multiscale finite element analysis framework was established for the first‐generation MoSiBTiC alloy, and the mechanical and fracture‐related parameters of the constituent phases were calibrated through experiments and simulations. The framework provides a basis for analyzing crack propagation behavior in its complex microstructure ...
Junfeng Du +4 more
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Simplicity of Tangent bundles on the moduli spaces of symplectic and orthogonal bundles over a curve
Comptes Rendus. MathématiqueThe variety of minimal rational tangents associated to Hecke curves was used by J.-M. Hwang [8] to prove the simplicity of the tangent bundle on the moduli of vector bundles over a curve.
Choe, Insong +2 more
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Lagrange geometry on tangent manifolds
International Journal of Mathematics and Mathematical Sciences, 2003 Lagrange geometry is the geometry of the tensor field defined by the fiberwise Hessian of a nondegenerate Lagrangian function on the total space of a tangent bundle. Finsler geometry is the geometrically most interesting case of Lagrange geometry.
Izu Vaisman
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Prolongations of G-Structures to Tangent Bundles [PDF]
Nagoya Mathematical Journal, 1968 The purpose of the present paper is to study the prolongations of G-structures on a manifold M to its tangent bundle T(M), G being a Lie subgroup of GL(n,R) with n = dim M. Recently, K. Yano and S. Kobayashi [9] studied the prolongations of tensor fields on M to T(M) and they proposed the following question: Is it possible to associate with each G ...
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