planar points and differential geometry
Prove or disprove ;
Let $S $ be a surface in $ R^3$. $S $ is a plane iff every point of $S $
is planar point.
"All points of plane are planar points" is trivial. But,... the converse
is also really true?
The definition of planar point ; $p $ is called a planar point of $S $ iff
the two principal curvatures vanish.
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