Results 1 to 10 of about 34,257 (118)
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
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
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
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
Stable Higgs bundles over positive principal elliptic fibrations
Complex Manifolds, 2018 Let M be a compact complex manifold of dimension at least three and Π : M → X a positive principal elliptic fibration, where X is a compact Kähler orbifold. Fix a preferred Hermitian metric on M.
Biswas Indranil +2 more
doaj +1 more source
Structure theorem for Jordan algebra bundles [PDF]
Arab Journal of Mathematical SciencesPurpose – 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
doaj +1 more source
Kobayashi—Hitchin correspondence for twisted vector bundles
Complex Manifolds, 2021 We prove the Kobayashi—Hitchin correspondence and the approximate Kobayashi—Hitchin correspondence for twisted holomorphic vector bundles on compact Kähler manifolds.
Perego Arvid
doaj +1 more source