Results 41 to 50 of about 335,042 (355)

Some calculations on Kaluza-Klein metric with respect to lifts in tangent bundle

open access: yesBoletim da Sociedade Paranaense de Matemática, 2022
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
doaj   +1 more source

On homogeneous vector bundles

open access: yesBulletin des Sciences Mathématiques, 2008
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
openaire   +2 more sources

Determinants of Laplacians on discretizations of flat surfaces and analytic torsion

open access: yesComptes 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
doaj   +1 more source

Lifting vector bundles to Witt vector bundles

open access: yes, 2018
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
openaire   +2 more sources

Super Vector Bundles

open access: yesJournal of Physics: Conference Series, 2011
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
openaire   +4 more sources

Totally Geodesic Submanifolds in Tangent Bundle with g - natural Metric [PDF]

open access: yes, 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
core   +1 more source

Chiral vector bundles

open access: yesMathematische Zeitschrift, 2018
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
openaire   +4 more sources

Vector bundles and blowups [PDF]

open access: yes, 2017
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
openaire   +4 more sources

Algebraic vector bundles on spheres [PDF]

open access: yesJournal of Topology, 2014
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
openaire   +5 more sources

Uniformity of Vector Bundles of Finite Rank on Complete Intersections of Finite Codimension in a Linear ind-Grassmannian

open access: yesМоделирование и анализ информационных систем, 2015
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
doaj   +1 more source

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