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تسجيل مستخدم جديدStable immersions in orbifolds
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Alden Walker
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We prove that in any hyperbolic orbifold with one boundary component, the product of any hyperbolic fundamental group element with a sufficiently large multiple of the boundary is represented by a geodesic loop that virtually bounds an immersed surface. In the case that the orbifold is a disk, there are some conditions. Our results generalize work of Calegari-Louwsma and resolve a conjecture of Calegari.
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An immersion of a smooth $n$-dimensional manifold $M to mathbb{R}^q$ is called totally nonparallel if, for every distinct $x, y in M$, the tangent spaces at $f(x)$ and $f(y)$ contain no parallel lines. Given a manifold $M$, we seek the minimum dimens
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