Results 1 to 10 of about 221,316 (324)
Vector Bundle Model of Complex Electromagnetic Space and Change Detection [PDF]
Entropy, 2018 Complex Electromagnetic Space (CEMS), which consists of physical space and the complex electromagnetic environment, plays an essential role in our daily life for supporting remote communication, wireless network, wide-range broadcast, etc.
Hao Wu +3 more
doaj +2 more sources
On Ampleness of vector bundles [PDF]
Comptes Rendus. Mathématique, 2021 In this article, we give a necessary and sufficient condition for ampleness of semistable vector bundles with vanishing discriminant on a smooth projective variety X. As an application, we show ampleness of some special vector bundles on certain ruled surfaces. We prove similar results for parabolic ampleness.
Misra, Snehajit, Ray, Nabanita
openaire +2 more sources
EULER CHARACTERISTIC OF TANGO BUNDLES
Tạp chí Khoa học Đại học Đà Lạt, 2022 We are interested in a vector bundle constructed by Tango (1976). The Tango bundle is an indecomposable vector bundle of rank \(n-1\) on the complex projective space \(\mathbb{P}^n\).
Hong Cong Nguyen +2 more
doaj +1 more source
Approximate and discrete Euclidean vector bundles
Forum of Mathematics, Sigma, 2023 We introduce $\varepsilon $ -approximate versions of the notion of a Euclidean vector bundle for $\varepsilon \geq 0$ , which recover the classical notion of a Euclidean vector bundle when $\varepsilon = 0$ .
Luis Scoccola, Jose A. Perea
doaj +1 more source
Vector Bundles with No Soul [PDF]
Proceedings of the American Mathematical Society, 1994 We exhibit vector bundles over compact manifolds of nonnegative sectional curvature whose total spaces do not admit a complete metric of nonnegative sectional curvature.
Özaydin, Murad, Walschap, Gerard
openaire +2 more sources
Axioms, 2022 We prove various results in infinite-dimensional differential calculus that relate the differentiability properties of functions and associated operator-valued functions (e.g., differentials).
Helge Glöckner
doaj +1 more source
Mirror symmetry for Nahm branes [PDF]
Épijournal de Géométrie Algébrique, 2022 The Dirac--Higgs bundle is a hyperholomorphic bundle over the moduli space of stable Higgs bundles of coprime rank and degree. We provide an algebraic generalization to the case of trivial degree and the rank higher than $1$.
Emilio Franco, Marcos Jardim
doaj +1 more source
Comptes Rendus. Mathématique, 2021 In this note, We show that over a compact Hermitian manifold $(X, \omega )$ whose metric satisfies $\partial \bar{\partial }\omega ^{n - 1} = \partial \bar{\partial }\omega ^{n - 2} = 0$, every pseudo-effective vector bundle with vanishing first Chern ...
Chen, Yong
doaj +1 more source
Bigness of the tangent bundles of projective bundles over curves
Comptes Rendus. Mathématique, 2023 In this short article, we determine the bigness of the tangent bundle $T_X$ of the projective bundle $X=\mathbb{P}_C(E)$ associated to a vector bundle $E$ on a smooth projective curve $C$.
Kim, Jeong-Seop
doaj +1 more source
The vector bundle decomposition [PDF]
Pacific Journal of Mathematics, 2003 The subject of this paper is the question whether a given vector bundle can be decomposed (or split) into a Whitney sum of its subbundles. The authors claim that in the real case the literature is sketchy at best (the reviewer will comment on this below), and they continue: ``In this paper we shall begin the study of the decomposition of real vector ...
Leslie, Joshua A., Yue, Qingqi
openaire +1 more source