Results 21 to 30 of about 221,316 (324)

Determinants of Laplacians on discretizations of flat surfaces and analytic torsion

Comptes Rendus. Mathématique, 2020
We study the asymptotic expansion of the determinants of the graph Laplacians associated to discretizations of a half-translation surface endowed with a unitary flat vector bundle. By doing so, over the discretizations, we relate the asymptotic expansion
Finski, Siarhei
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Totally Geodesic Submanifolds in Tangent Bundle with g - natural Metric [PDF]

, 2013
In the paper we investigate submanifolds in a tangent bundle endowed with g-natural metric G, defined by a vector field on a base manifold. We give a sufficient condition for a vector field on M to defined totally geodesic submanifold in (TM,G).
Ewert-Krzemieniewski, Stanisław
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Dirac Structures on Banach Lie Algebroids

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
In the original definition due to A. Weinstein and T. Courant a Dirac structure is a subbundle of the big tangent bundle T M ⊕ T* M that is equal to its ortho-complement with respect to the so-called neutral metric on the big tangent bundle.
Vulcu Vlad-Augustin
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OBSTRUCTIONS TO ALGEBRAIZING TOPOLOGICAL VECTOR BUNDLES

Forum of Mathematics, Sigma, 2019
Suppose $X$ is a smooth complex algebraic variety. A necessary condition for a complex topological vector bundle on $X$ (viewed as a complex manifold) to be algebraic is that all Chern classes must be algebraic cohomology classes, that is, lie in the ...
A. ASOK, J. FASEL, M. J. HOPKINS
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Structure theorem for Jordan algebra bundles [PDF]

Arab Journal of Mathematical Sciences
Purpose – The aims of this paper is to prove that every semisimple Jordan algebra bundle is locally trivial and establish the decomposition theorem for locally trivial Jordan algebra bundles using the decomposition theorem of Lie algebra bundles.
Ranjitha Kumar
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A Method of the Riemann–Hilbert Problem for Zhang’s Conjecture 2 in a Ferromagnetic 3D Ising Model: Topological Phases

Mathematics, 2021
A method of the Riemann–Hilbert problem is employed for Zhang’s conjecture 2 proposed in Philo. Mag. 87 (2007) 5309 for a ferromagnetic three-dimensional (3D) Ising model in a zero external magnetic field.
Zhidong Zhang, Osamu Suzuki
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Differential geometry of collective models

AIMS Mathematics, 2019
The classical astrophysical theory of Riemann ellipsoids and the quantum nuclear theory of Bohr and Mottelson share a common mathematical foundation in terms of the differential geometry of a principal bundle ${\cal P}$ and its associated vector bundle E,
George Rosensteel
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Stable rationality of higher dimensional conic bundles [PDF]

Épijournal de Géométrie Algébrique, 2018
We prove that a very general nonsingular conic bundle $X\rightarrow\mathbb{P}^{n-1}$ embedded in a projective vector bundle of rank $3$ over $\mathbb{P}^{n-1}$ is not stably rational if the anti-canonical divisor of $X$ is not ample and $n\geq 3$.
Hamid Ahmadinezhad, Takuzo Okada
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Trace formulae for curvature of Jet Bundles over planar domain

, 2013
For a domain \Omega in \mathbb{C} and an operator T in \mathcal{B}_n(\Omega), Cowen and Douglas construct a Hermitian holomorphic vector bundle E_T over \Omega corresponding to T.
Keshari, Dinesh Kumar
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Prolongations of affine connection and horizontal vectors

Дифференциальная геометрия многообразий фигур, 2020
The linear frame bundle over a smooth manifold is considered. The mapping dе defined by the differentials of the first-order frame e is a lift to the normal N, i.
K.V. Polyakova
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