please , i'm french , so i didn't quite get the meaning of this sentence.
Jun 29, 2016 #1 AyoubEd 10 2 please , i'm french , so i didn't quite get the meaning of this sentence. Attachments 55.PNG 10 KB · Views: 498 Last edited by a moderator: Jun 29, 2016
Jun 29, 2016 #2 wrobel Science Advisor Insights Author 988 841 I also have not got it . Area on two dimensional manifold is a 2-form not 1-form
Jun 29, 2016 #4 nasu 3,885 511 The formula represents the area of a circular band on the sphere. Like the shaded area in this image http://www.mathalino.com/sites/default/files/images/001-total-surface-sphere-integration.jpg In general is dA=R2sinθdθ but in that text they say that R=1.
The formula represents the area of a circular band on the sphere. Like the shaded area in this image http://www.mathalino.com/sites/default/files/images/001-total-surface-sphere-integration.jpg In general is dA=R2sinθdθ but in that text they say that R=1.
Jun 29, 2016 #5 jedishrfu Mentor Insights Author 13,578 7,566 Yes Nasu has got it right, the differential area of a sphere in spherical coordinates is: ##dA = R^2 sin \theta d\theta d\phi## and integrating over ##d\phi## and then setting R=1 you get ##Aring = 2\pi * sin \theta d\theta##
Yes Nasu has got it right, the differential area of a sphere in spherical coordinates is: ##dA = R^2 sin \theta d\theta d\phi## and integrating over ##d\phi## and then setting R=1 you get ##Aring = 2\pi * sin \theta d\theta##