6. Suppose M and N are C manifolds, U an open set of M, and F: U Nis C. Show that there exists a neighborhood V of any p eU, V CU, suchthat F can be extended to a C mapping F*: M N with F(q) = F*(q)for all q e V.

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Answered: 6. Suppose M and N are C manifolds, U…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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6. Suppose M and N are C manifolds, U an open set of M, and F: U N is C. Show that there exists a neighborhood V of any p e U, VCU, such that F can be extended to a C mapping F*: M N with F(q) = F*(q) for all q e V.

6. Suppose M and N are C manifolds, U an open set of M, and F: U N is C. Show that there exists a neighborhood V of any p e U, VCU, such that F can be extended to a C mapping F: M N with F(q) = F(q) for all q e V.