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pro vyhledávání: '"Peruyero, Haydeé Contreras"'
Let $M$ be a simply connected Riemannian manifold in $\mathscr{M}_{k,v}^D(n)$, the space of closed Riemannian manifolds of dimension $n$ with sectional curvature bounded below by $k$, volume bounded below by $v$, and diameter bounded above by $D$. Le
Externí odkaz:
http://arxiv.org/abs/2410.10975
Publikováno v:
New York J. Math. 28 (2022) 659-671
We show that a combination of collapsing and excessive growth from the fundamental group impedes the existence of Einstein metrics on several families of smooth four-manifolds. These include infrasolvmanifolds whose fundamental group is not virtually
Externí odkaz:
http://arxiv.org/abs/2107.14380
Autor:
Peruyero, Haydeé Contreras
A cusp-decomposable manifold is a manifold constructed from a finite number of complete, negatively curved, finite volume manifolds and identifying the boundaries of truncated cusps by diffeomorphisms. Using properties of the electric space of the un
Externí odkaz:
http://arxiv.org/abs/2010.03736