Zobrazeno 1 - 10
of 548
pro vyhledávání: '"58A15"'
Publikováno v:
Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze. 22 (1): 287-304, 2021
Differential $p$-forms and $q$-vector fields with constant coefficients are studied. Differential $p$-forms of degrees $p=1,2,n-1,n$ with constant coefficients on a smooth $n$-dimensional manifold $M$ are characterized. In the contravariant case, the
Externí odkaz:
http://arxiv.org/abs/2412.15771
Autor:
Fels, Mark E., Ivey, Thomas A.
We characterize real elliptic differential systems whose solutions can be expressed in terms of holomorphic solutions to an associated holomorphic Pfaffian system $\mathcal H$ on a complex manifold. In particular, these elliptic systems arise as quot
Externí odkaz:
http://arxiv.org/abs/2409.19893
Autor:
Delladio, Silvano
A property of weak stationarity of a matrix valued differential form at superdensity points of its vanishing set is proved. This result is then applied in the context of the Maurer-Cartan equation.
Externí odkaz:
http://arxiv.org/abs/2407.10866
Autor:
Delladio, Silvano
Let ${\mathcal D}$ and $T$ be, respectively, a $C^1$ distribution of $k$-planes and a normal $k$-current on ${\mathbf R}^n$. Then ${\mathcal D}$ has to be involutive at almost every superdensity point of the tangency set of $T$ with respect to ${\mat
Externí odkaz:
http://arxiv.org/abs/2407.09028
Autor:
Quijón, Guadalupe, Capriotti, Santiago
The present article introduces a generalization of the Hamiltonian field theory for a Lagrangian density, allowing the formulation of this kind of field theories for variational problem of more general nature than those associated to a classical vari
Externí odkaz:
http://arxiv.org/abs/2407.03991
This paper is the second in a series of works dedicated to studying non-linear partial differential equations via derived geometric methods. We study a natural derived enhancement of the de Rham complex of a non-linear PDE via algebro-geometric techn
Externí odkaz:
http://arxiv.org/abs/2406.16825
Autor:
Bryant, Robert L.
A symmetric quadratic form $g$ on a surface~$M$ is said to be locally Hessianizable if each $p\in M$ has an open neighborhood~$U$ on which there exists a local coordinate chart $(x^1,x^2):U\to\mathbb{R}^2$ and a function $f:U\to\mathbb{R}$ such that,
Externí odkaz:
http://arxiv.org/abs/2405.06998
Autor:
McMillan, Benjamin
Given two smooth manifolds with tangent subbundle distributions, an embedding is Pfaffian if its differential sends the distribution on the source into the distribution on the target. In this paper, we consider the question of existence of Pfaffian e
Externí odkaz:
http://arxiv.org/abs/2404.14988
We construct a sheaf theoretic and derived geometric machinery to study nonlinear partial differential equations and their singular supports. We establish a notion of derived microlocalization for solution spaces of non-linear equations and develop a
Externí odkaz:
http://arxiv.org/abs/2312.05226
Autor:
Klotz, Taylor J., Wilkens, George R.
We investigate the local geometry of a pair of independent contact structures on 3-manifolds under maps that independently preserve each contact structure. We discover that such maps are homotheties on the contact 1-forms and we discover differential
Externí odkaz:
http://arxiv.org/abs/2312.01360