Riemann-Christoffel tensor
(redirected from Riemann curvature tensor)

Also found in: Wikipedia

0.01 sec.

Riemann-Christoffel tensor [′rē‚män ′kris·tə·fəl ‚ten·sər]

(mathematics)

The basic tensor used for the study of curvature of a Riemann space; it is a fourth-rank tensor, formed from Christoffel symbols and their derivatives, and its vanishing is a necessary condition for the space to be flat. Also known as curvature tensor.

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			They define a Weil-Petersson metric on T(1) by Hilbert space inner products on tangent spaces, execute its Riemann curvature tensor, and show that T(1) is a Kahler-Einstein manifold with negative Ricci and sectional curvatures. Weil-Petersson metric on the Universal Teichmuller space by SciTech Book News			Riduna riebeckite riebeckite asbestos riebungsbreccia Riecke's principle Riedel's disease riedenite Riefenstahl Riefenstahl, Leni Riefler clock Riegel Rieger, František Ladislav Rieger, Frantisek Ladislav Riegger, Wallingford Riegl, Alois Riegler's test Riego y Nunez, Rafael Riego y Núñez, Rafael Riego y Nuñez, Rafael del Riehen Riehl, Alois Rieke diagram Riel's rebellions Riel, Louis Riemann Riemann curvature tensor Riemann function Riemann hypothesis Riemann Integral Riemann mapping theorem Riemann method Riemann P function Riemann space Riemann Sphere Riemann Surface Riemann surfaces Riemann tensors Riemann zeta function Riemann, Bernhard Riemann, Georg Friedrich Bernhard Riemann, Hugo Riemann-Christoffel tensor Riemann-Lebesgue lemma Riemann-Stieltjes integral Riemannian curvature Riemannian Geometry Riemannian manifold Riemannian Space Riemannian space-time Riemenschneider, Tilman Rienacker, Gunter			Riehl, Alois Riehl-Sisca Riehl-Sisca Riehl-Sisca RIEI Rieka Rieka Rieke diagram riel riel riel riel Riel Rebellion Riel's rebellions Riel, Louis Riel, Louis Riel, Louis RIELA Rieles Rieles riels riels Riem Riem RIEMA Rieman sphere Riemann Riemann Riemann (Georg Friedrich) Bernhard Riemann conjecture Riemann curvature tensor Riemann for Anti-Dummies Riemann function Riemann geometry Riemann geometry Riemann hypotheses Riemann hypothesis Riemann integrable Riemann integral Riemann integration Riemann lemma Riemann mapping theorem Riemann method Riemann multiple integral Riemann P function Riemann space Riemann space Riemann sphere Riemann surface Riemann surfaces Riemann tensors Riemann theta function Riemann theta function Riemann zeta Riemann zeta function Riemann zeta function zeros Riemann zeta hypothesis Riemann zeta-function

Encyclopedia

Free Tools:	For surfers: Free toolbar & extensions \| Word of the Day \| Help For webmasters: Free content \| Linking \| Lookup box \| Double-click lookup

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.

Riemann-Christoffel tensor (redirected from Riemann curvature tensor)

Riemann-Christoffel tensor
(redirected from Riemann curvature tensor)