Results 31 to 40 of about 56,204 (86)

Causal geometries and third-order ordinary differential equations [PDF]

, 2009
We discuss contact invariant structures on the space of solutions of a third-order ordinary differential equation. Associated to any third-order differential equation modulo contact transformations, Chern introduced a degenerate conformal Lorentzian ...
Holland, Jonathan, Sparling, George
core  

Higher dimensional uniformisation and W-geometry

, 1994
We formulate the uniformisation problem underlying the geometry of W_n-gravity using the differential equation approach to W-algebras. We construct W_n-space (analogous to superspace in supersymmetry) as an (n-1) dimensional complex manifold using ...
Alvarez-Gaumé, Bilal, Bouwknegt, Das, de Boer, de Boer, de Boer, Drinfeld, Feher, Gerasimov, Gervais, Gervais, Govindarajan, Hawley, Hejhal, Hejhal, Hejhal, Hitchin, Hull, Hull, Itzykson, Jimbo, Jimbo, Kobayashi, Matsuo, Novikov, Simpson, Sotkov, Suresh Govindarajan, Wilczynski, Yoshida, Zamolodchikov, Zucchini   +32 more
core   +1 more source

On K\"ahler metrisability of two-dimensional complex projective structures

, 2014
We derive necessary conditions for a complex projective structure on a complex surface to arise via the Levi-Civita connection of a (pseudo-)K\"ahler metric.
Mettler, Thomas
core   +1 more source

Positive geometries and canonical forms

Journal of High Energy Physics, 2017
Recent years have seen a surprising connection between the physics of scattering amplitudes and a class of mathematical objects — the positive Grassmannian, positive loop Grassmannians, tree and loop Amplituhedra — which have been loosely referred to as “
Nima Arkani-Hamed, Yuntao Bai, Thomas Lam   +2 more
doaj   +1 more source

Riemannian Metrics on Locally Projectively Flat Manifolds

, 2001
The expression (-1/u) times the Hessian of u transforms as a symmetric (0,2) tensor under projective coordinate transformations, so long as u transforms as a section of a certain line bundle.
Loftin, J. C.
core   +2 more sources

Differentiable Manifolds and Geometric Structures

Mathematics
This editorial presents 26 research articles published in the Special Issue entitled Differentiable Manifolds and Geometric Structures of the MDPI Mathematics journal, which covers a wide range of topics particularly from the geometry of (pseudo ...
Adara M. Blaga
doaj   +1 more source

Differential geometry with a projection: application to double field theory [PDF]

Journal of High Energy Physics, 2011
1+22 pages, No figure; a previous result on 4-index tensor removed, presentation ...
Jeon, Imtak, Lee, Kanghoon, Park, Jeong-Hyuck   +2 more
openaire   +3 more sources

Integration-by-parts identities and differential equations for parametrised Feynman integrals

Journal of High Energy Physics
Integration-by-parts (IBP) identities and differential equations are the primary modern tools for the evaluation of high-order Feynman integrals. They are commonly derived and implemented in the momentum-space representation.
Daniele Artico, Lorenzo Magnea
doaj   +1 more source

On some interpretation of linear frames in projective differential geometry

Дифференциальная геометрия многообразий фигур, 2018
The centroprojective group, i. e. the stabilizer G of a fixed point A in the group GP(n) of projective transformations of n-dimensional projective space Pn (n > 1) is considered in the paper. Two faithful representations of the linear quotient group of G
A. Kuleshov
doaj  

$ \eta $-Ricci-Bourguignon solitons in an almost pseudo-$ W_8 $ flat and $ M $-projective flat symmetric Lorentzian Kähler space-time manifold

AIMS Mathematics
In this paper, we investigated $ \eta $-Ricci-Bourguignon solitons within the framework of almost pseudo-$ W_8 $ flat and $ M $-projective flat symmetric Lorentzian Kähler space-time manifolds that satisfy the Einstein field equation with and without a ...
B. B. Chaturvedi, Prabhawati Bhagat, Mohammad Nazrul Islam Khan   +2 more
doaj   +1 more source