Results 21 to 30 of about 253 (46)

L2 dimensions of spaces of braid-invariant harmonic forms

, 2011
Let X be a Riemannian manifold endowed with a co-compact isometric action of an infinite discrete group. We consider L2 spaces of harmonic vector-valued forms on the product manifold X^N, which are invariant with respect to an action of the braid group ...
Daletskii, Alexei, Kalyuzhnyi, Alexander
core   +1 more source

On the Hodge decomposition in R^n [PDF]

, 2009
We prove a version of the $L^p$ hodge decomposition for differential forms in Euclidean space and a generalization to the class of Lizorkin currents.
Troyanov, Marc
core  

Geometric formality of homogeneous spaces and of biquotients

, 2009
We provide examples of homogeneous spaces which are neither symmetric spaces nor real cohomology spheres, yet have the property that every invariant metric is geometrically formal.
Besse, Dieter Kotschick, Husemoller, Kramer, Kuin’, Lundell, Mimura, Onishchik, Sullivan, Svjetlana Terzić, Takeuchi, Terzich, Totaro, Wolf, Wolf, Ōguchi   +15 more
core   +1 more source

The Gelfand-Tsetlin bases for Hodge-de Rham systems in Euclidean spaces [PDF]

, 2010
The main aim of this paper is to construct explicitly orthogonal bases for the spaces of k-homogeneous polynomial solutions of the Hodge-de Rham system in the Euclidean space R^m which take values in the space of s-vectors. Actually, we describe even the
Delanghe, Richard, Lavicka, Roman, Soucek, Vladimir   +2 more
core  

Orthogonal Appell bases for Hodge-de Rham systems in Euclidean spaces [PDF]

, 2011
Recently the Gelfand-Tsetlin construction of orthogonal bases has been explicitly described for the spaces of k-homogeneous polynomial solutions of the Hodge-de Rham system in the Euclidean space R^m which take values in the space of s-vectors.
Lavicka, Roman
core  

Poincaré inequality for one-forms on four manifolds with bounded Ricci curvature. [PDF]

Arch Math
Honda S, Mondino A.
europepmc   +1 more source

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X-ray Tomography of One-forms with Partial Data

SIAM Journal on Mathematical Analysis, 2021
Joonas Ilmavirta, Keijo Mönkkönen
exaly  

Sub-Riemannian structures in a principal bundle and their Popp measures

Applicable Analysis, 2017
Wolfram Bauer, Kenro Furutani
exaly  

An application of self-conjugate differential forms to the Dirichlet problem for Cimmino system

Complex Variables and Elliptic Equations, 2017
Alberto Cialdea
exaly  

C1-triangulations of semialgebraic sets

Journal of Topology, 2017
Toru Ohmoto
exaly