Results 31 to 40 of about 217,155 (332)
Bulletin 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
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Weakly uniform rank two vector bundles on multiprojective spaces [PDF]
, 2010 Here we classify the weakly uniform rank two vector bundles on multiprojective spaces. Moreover we show that every rank $r>2$ weakly uniform vector bundle with splitting type $a_{1,1}=...=a_{r,s}=0$ is trivial and every rank $r>2$ uniform vector bundle ...
Ballico, Edoardo, Malaspina, Francesco
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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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Weighted E-Spaces and Epistemic Information Operators
Information, 2014 Information is usually related to knowledge. Here, we present a broader picture in which information is associated with epistemic structures, which form cognitive infological systems as basic recipients and creators of cognitive information.
Mark Burgin
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Lifting vector bundles to Witt vector bundles
, 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
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Journal 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
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Mathematische 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
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Vector bundles and blowups [PDF]
, 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
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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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On automorphisms of vector bundles
Journal of Pure and Applied Algebra, 1974 AbstractA finite group G is isomorphic to a group of automorphisms of a real indecomposable vector bundle ψ over a paracompact space B if and only if G is isomorphic to a subgroup of the multiplicative group of the division algebra of real quaternions.
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