Printer Friendly
Dictionary, Encyclopedia and Thesaurus - The Free Dictionary
3,923,802,133 visitors served.
forum Join the Word of the Day Mailing List For webmasters
?
Dictionary/
thesaurus
Medical
dictionary
Legal
dictionary
Financial
dictionary
Acronyms
 
Idioms
Encyclopedia
Wikipedia
encyclopedia
?

Riemannian Space

    0.01 sec.
Riemannian Space 

a space that is Euclidean in the small but not necessarily in the large. Riemannian spaces are named after B. Riemann, who outlined in 1854 the fundamentals of the theory of such spaces. The simplest Riemannian spaces are the spaces of constant curvature whose respective geometries are Euclidean, hyperbolic, and elliptic.



Want to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit the webmaster's page for free fun content.
?Page tools
Printer friendly
Cite / link
Feedback
Mentioned in?  References in periodicals archive?   Encyclopedia browser?   Full browser?
No references found
 
Consider the embedding of a four-dimensional Riemannian space parametrized by local coordinates (denoted by [x.
For instance a continuous and smooth image can be considered as a Riemannian space (a smooth surface) whose metric depends on the local gradient.
Other subjects explored are topological field theories with non-semisimple gauge group of symmetry, continuity equations in Riemannian spaces, the non-Hamiltonian nature of nucleon dynamics in an effective field theory, and singular value decomposition and Lanczos potential.
 
 
 
Encyclopedia
?

Terms of Use | Privacy policy | Feedback | Advertise with Us | Copyright © 2012 Farlex, Inc.
Disclaimer
All content on this website, including dictionary, thesaurus, literature, geography, and other reference data is for informational purposes only. This information should not be considered complete, up to date, and is not intended to be used in place of a visit, consultation, or advice of a legal, medical, or any other professional.