Results 11 to 20 of about 1,013,818 (123)
Generalized Donaldson's functionals and related nonlinear partial differential equations [PDF]
arXiv, 2020 In this paper, we introduce a family of generalized Donaldson's functional on holomorphic vector bundles, whose Euler-Lagrange equations are a vector bundle version of the complex $k$-Hessian equations. We also discuss the uniqueness of solutions to these equations.
arxiv
Theta functions and adiabatic curvature on an Abelian variety [PDF]
arXiv, 2022 For an ample line bundle $L$ on an Abelian variety $M$, we study the theta functions associated with the family of line bundles $L\otimes T$ on $M$ indexed by $T\in \text{Pic}^{0}(M)$. Combined with an appropriate differential geometric setting, this leads to an explicit curvature computation of the direct image bundle $E$ on $\text{Pic}^{0}(M)$, whose
arxiv
Plant and Cell Physiology, 2000 To characterize novel genes functioning specifically in mesophyll cells (MCs) or bundle sheath cells (BSCs) of C4 plants, differential screening of a maize cDNA library was conducted using 32P-labeled single-strand cDNAs prepared from MCs and bundle ...
T. Furumoto, S. Hata, K. Izui
semanticscholar +1 more source
, 2009 The TOEFL iBT™ has increased the length of the reading passages in the reading section compared to the passages on the TOEFL® computer-based test (CBT) to better approximate academic reading in North American universities, resulting in a reduced number ...
O. Liu +3 more
semanticscholar +1 more source
Cohomology of flat bundles and a Chern-Simons functional [PDF]
arXiv, 2014 We show that a flat principal bundle with compact connected structure group and its adjoint bundles of Lie groups have the same cohomology as the trivial bundle, which is done by proving they satisfy the condition for the Leray-Hirsch theorem. This information has been used to construct a cohomology class of the adjoint bundle of a flat bundle whose ...
arxiv
An Approach to Differential Invariants of $G$-Structures [PDF]
arXiv, 2017 In a natural way, the local diffeomorphisms of a manifold onto itself act on the reference frame bundles of any order and on the bundles associated with them. Due to the transitivity, the invariants by diffeomorphisms of an associated bundle correspond to the real functions on the orbit space of the action of the jet group on the typical fiber, which ...
arxiv
, 2020 The study determined the parameter estimate of the Senior School Certificate Mathematics items of June/July 2017 NECO examinations and testlet effect under Multilevel Measurement Modeling with the aim of providing information on the psychometric ...
E. O. Adeyemo, O. Opesemowo
semanticscholar +1 more source
Variational Aspects of the Seiberg-Witten Functional [PDF]
arXiv, 1995 The Seiberg-Witten equations that have recently found important applications for four-dimensional geometry are the Euler-Lagrange equations for a functional involving a connection $A$ on a line bundle $L$ and a section $\phi$ of another bundle $W^+$ constructed from $L$ and a spinor bundle on a given four-dimensional Riemannian manifold.
arxiv
Frame-independent formulation of Newtonian mechanics [PDF]
arXiv, 2004 A frame independent formulation of analytical mechanics in the Newtonian space-time is presented. The differential geometry of affine values i.e., the differential geometry in which affine bundles replace vector bundles and sections of one dimensional affine bundles replace functions on manifolds, is used. Lagrangian and hamiltonian generating objects,
arxiv
, 2012 This study investigated the effect of the interaction between test takers' background knowledge and language proficiency on their performance on the TOEFL iBT® reading section.
Y. Hill, O. Liu
semanticscholar +1 more source