LM, N, and A be C manifolds and pi: M x N M, p2: M x N → N be projections to the factors. For (a, b) e M x N, let i: M M x N be defined by i (p) = (p. b) and j: N P1. p2, i, and j are C mappings. Show that a mapping F: A → M x N is C* if and only if fi = pio F and f2 = p2 o F are C: - M x N by j(q) = (a, q). Show that %3D %3D ->
LM, N, and A be C manifolds and pi: M x N M, p2: M x N → N be projections to the factors. For (a, b) e M x N, let i: M M x N be defined by i (p) = (p. b) and j: N P1. p2, i, and j are C mappings. Show that a mapping F: A → M x N is C* if and only if fi = pio F and f2 = p2 o F are C: - M x N by j(q) = (a, q). Show that %3D %3D ->
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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