Definition:Latitude Circle of Surface of Revolution
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Definition
Let $S_C$ be a surface of revolution.
Let its smooth local parametrization be of the form:
- $\map X {t, \theta} = \tuple {\map y t \cos \theta, \map y t \sin \theta, \map x t}$
Then the $\theta$-coordinate curves $\theta \mapsto \map X {t_0, \theta}$ are called the latitude circles.
Also see
Sources
- 2018: John M. Lee: Introduction to Riemannian Manifolds (2nd ed.) ... (previous) ... (next): $\S 2$: Riemannian Metrics. Methods for Constructing Riemannian Metrics