 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ii/paper-4/25i/c/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

F : TX \to R

F (p, v) = I_{p} (v, v)

. On

F^{- 1} (1)

, the vertical derivative in direction

v

2 I_{p} (v, v) = 2

, so 1 is regular. Since

dim TX = 4

SX

 New to topics? Read the docs here!