Results 41 to 50 of about 335,042 (355)
Some calculations on Kaluza-Klein metric with respect to lifts in tangent bundle
In the present paper, a Riemannian metric on the tangent bundle, which is another generalization of Cheeger-Gromoll metric and Sasaki metric, is considered.
Haşim Çayir
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AbstractLet G be a simply connected linear algebraic group, defined over the field of complex numbers, whose Lie algebra is simple. Let P be a proper parabolic subgroup of G. Let E be a holomorphic vector bundle over G/P such that E admits a homogeneous structure. Assume that E is not stable.
Smitha Subramanian, Indranil Biswas
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Determinants of Laplacians on discretizations of flat surfaces and analytic torsion
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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Lifting vector bundles to Witt vector bundles
Let $X$ be a scheme. Let $r \geq 2$ be an integer. Denote by $W_r(X)$ the scheme of Witt vectors of length $r$, built out of $X$. We are concerned with the question of extending (=lifting) vector bundles on $X$, to vector bundles on $W_r(X)$-promoting a systematic use of Witt modules and Witt vector bundles. To begin with, we investigate two elementary
De Clercq, Charles+2 more
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We review the basic aspects of the theory of smooth super vector bundles. In particular we give the precise link existing between the geometrical and the sheaf theoretical approaches.
L. Balduzzi+2 more
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Totally Geodesic Submanifolds in Tangent Bundle with g - natural Metric [PDF]
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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47 pages, 2 Tables with caption. Key words: Topological insulators, Bloch-bundles, chiral vector bundles, chiral symmetry, odd Chern classes. In v2 several typos have been fixed.
De Nittis, Giuseppe, Gomi, Kiyonori
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Vector bundles and blowups [PDF]
Let X be a nonsingular quasi-projective complex algebraic variety and let E be an algebraic vector bundle on X of rank r ≥ 2. The pullback of E by the blowup of X at a suitably chosen nonsingular subvariety of X of codimension r contains a line subbundle that can be explicitly described.
Jelonek, Zbigniew+2 more
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Algebraic vector bundles on spheres [PDF]
35 pages; final version (before page proofs) to appear J. Top. Significantly reorganized and incorporates some material from http://arxiv.org/abs/1204.0770 (which will also soon be replaced)
Asok, Aravind, Fasel, Jean
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A linear projective ind-variety X is called 1-connected if any two points on it can be connected by a chain of lines l1, l2, ..., lk in X, such that li intersects li+1.
S. M. Yermakova
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