Answer by Lee Mosher for Relationship between sectional and gauss curvature...
You can get the surface you desire using the exponential map $e : T_x M \to X$. First let $P \subset T_x M$ be the 2-dimensional linear subspace spanned by the vectors $u,v$. Also choose $r>0$ so...
View ArticleRelationship between sectional and gauss curvature on higher dimensional...
I know that for a surface $S \subseteq \mathbb{R}^3$, the gauss curvature and the sectional curvature are equivalent.I was wondering if there is any useful way we can understand sectional curvature in...
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