3) A surface M is ende where e, = 6 (u.vldu %3D on this surface. c) Calculate the Curvat equation, (Rik= dwie + %3D

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter7: Locus And Concurrence
Section7.2: Concurrence Of Lines
Problem 21E
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3) A surface M is endowed with +he metric ds²= (e,2+(e)-9°luv)(du²+dv²"
where e, = lu,vldu and e, = 0 (u.vldv are the dual (coframe) basis 1-forms
on this surface.
C) Calculate the Curvature 2-forms Rik,using the second Cartan structure
equation, CRik=dwik + Ewim 1 wme= KO; A Ox)
m.
Transcribed Image Text:3) A surface M is endowed with +he metric ds²= (e,2+(e)-9°luv)(du²+dv²" where e, = lu,vldu and e, = 0 (u.vldv are the dual (coframe) basis 1-forms on this surface. C) Calculate the Curvature 2-forms Rik,using the second Cartan structure equation, CRik=dwik + Ewim 1 wme= KO; A Ox) m.
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