Results 21 to 26 of about 233 (26)

Completeness and incompleteness of the Binet-Legendre Metric

open access: yes, 2014
The goal of this short paper is to give condition for the completeness of the Binet-Legendre metric in Finsler geometry.
Matveev, Vladimir S., Troyanov, Marc
core   +1 more source

L2 dimensions of spaces of braid-invariant harmonic forms

open access: yes, 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]

open access: yes, 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  

Non Commutative Differential Geometry, and the Matrix Representations of Generalised Algebras

open access: yes, 1997
The underlying algebra for a noncommutative geometry is taken to be a matrix algebra, and the set of derivatives the adjoint of a subset of traceless matrices. This is sufficient to calculate the dual 1-forms, and show that the space of 1-forms is a free
Connes   +10 more
core   +1 more source

Zero-dimensional symplectic isolated complete intersection singularities

open access: yes, 2012
We study the local symplectic algebra of the 0-dimensional isolated complete intersection singularities. We use the method of algebraic restrictions to classify these symplectic singularities.
Domitrz, Wojciech
core   +1 more source

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