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Results tagged with dg.differential-geometry
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user 97137
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
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Boundary of the image of a projection
Let $U$ be a connected open subset in $\mathbb{R^n}$. Let $f: U \rightarrow U$ be a differentiable projection, i.e. $f\circ f = f$. It's well-known that $f(U)$ is a submanifold of $U$ (Henri Cartan, …
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Boundary of the image of a projection
The only non trivial case such that the closure of $f(U)$ has non empty intersect with the boundary of $U$ is when $U$ is bounded open subset of $\mathbb{C}^n$ and $f:U \rightarrow U$ is non constant …
- 293