Let C ⊂ S be a regular curve on a surface with Gaussian curvature K > 0 . Show that the curvature of at p satisfies

≥ min(|1|,|2|)

where 1 and 2 are the principal curvatures of at p .

Question

05-06-2024
Mathematics

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Let C ⊂ S be a regular curve on a surface with Gaussian curvature K > 0 . Show that the curvature of at p satisfies

≥ min(|1|,|2|)

where 1 and 2 are the principal curvatures of at p .

Sagot :

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