HW03 - Differential Geometry 1 Homework 03 1. Determine...

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Unformatted text preview: Differential Geometry 1 Homework 03 1. Determine the integral curves for the following vector field on R2 : 1 ∂ ∂ ∂ (y + z ) + (z + x) + (x + y ) . 2 ∂x ∂y ∂z Do so in more than one way! 2. Consider the vector fields ξ and η defined on R2 by ξ = x2 ∂ ∂ , η = y2 . ∂y ∂x Determine which (if any) of the following vector fields are complete: ξ, η, [ξ, η ], ξ + η. 1 ...
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This note was uploaded on 07/08/2011 for the course MTG 6256 taught by Professor Robinson during the Spring '09 term at University of Florida.

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