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Riemannian Geometry is a subfield of Differential Geometry, which specifically studies "Riemannian Manifolds", manifolds with "Riemannian Metrics", which means that they are equipped with continuous inner products.
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The developing map of conformally flat manifold
There is one sentence I don't understand in some paper.
"A simply connected and conformally flat three mainifold can be conformally immersed into $S^3$" by the means of a developing map.
Is any refe …
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Hypersurfaces and Elliptic Points
You can refer to this more general Proposition, mentioned by Jose Ivan in Daczer's book.
Let $f:M^n\rightarrow R^{n+p}$ be an isometric immersion of a compact manifold. Then there is a point $x_0$ in …