Results 131 to 140 of about 235,971 (249)

Metric lines in the jet space

open access: yesAnalysis and Geometry in Metric Spaces
In the realm of sub-Riemannian manifolds, a relevant question is: what are the metric lines (isometric embedding of the real line)? The space of kk-jets of a real function of one real variable xx, denoted by Jk(R,R){J}^{k}\left({\mathbb{R}},{\mathbb{R}}),
Bravo-Doddoli Alejandro
doaj   +1 more source

Smarandache Multi-Space Theory(III)--Map geometries and pseudo-plane geometries [PDF]

open access: yesarXiv, 2006
A Smarandache multi-space is a union of $n$ different spaces equipped with some different structures for an integer $n\geq 2$, which can be both used for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics. This is the third part on multi-spaces concertrating on Smarandache geometries, including those of map ...
arxiv  

Stringy Geometry and Topology of Orbifolds [PDF]

open access: yesarXiv, 2000
This is a survey article on the recent development of "stringy geometry and topology of orbifolds", a new subject of mathematics motivated by orbifold string theory.
arxiv  

The notion of dimension in geometry and algebra [PDF]

open access: yesarXiv, 2005
This talk reviews some mathematical and physical ideas related to the notion of dimension. After a brief historical introduction, various modern constructions from fractal geometry, noncommutative geometry, and theoretical physics are invoked and compared.
arxiv  

Sub-Riemannian geometry [PDF]

open access: yesJournal of Differential Geometry, 1986
openaire   +2 more sources

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