Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Kerin, Martin"'
In this paper we study the isometric rigidity of certain classes of metric spaces with respect to the $p$-Wasserstein space. We prove that spaces that split a separable Hilbert space are not isometrically rigid with respect to $\mathbb{P}_2$. We then
Externí odkaz:
http://arxiv.org/abs/2410.14648
Under mild topological restrictions, this article establishes that a smooth, closed, simply connected manifold of dimension at most seven which can be decomposed as the union of two disk bundles must be rationally elliptic. In dimension five, such ma
Externí odkaz:
http://arxiv.org/abs/2008.10278
In a recent article, the authors constructed a six-parameter family of highly connected 7-manifolds which admit an SO(3)-invariant metric of non-negative sectional curvature. Each member of this family is the total space of a Seifert fibration with g
Externí odkaz:
http://arxiv.org/abs/2003.04907
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
In this paper, we study smooth, semi-free actions on closed, smooth, simply connected manifolds, such that the orbit space is a smoothable manifold. We show that the only simply connected $5$-manifolds admitting a smooth, semi-free circle action with
Externí odkaz:
http://arxiv.org/abs/1805.03113
In this article, a six-parameter family of highly connected 7-manifolds which admit an SO(3)-invariant metric of non-negative sectional curvature is constructed and the Eells-Kuiper invariant of each is computed. In particular, it follows that all ex
Externí odkaz:
http://arxiv.org/abs/1705.05895
An upper bound is obtained on the rank of a torus which can act smoothly and effectively on a smooth, closed, simply connected, rationally elliptic manifold. In the maximal-rank case, the manifolds admitting such actions are classified up to equivari
Externí odkaz:
http://arxiv.org/abs/1511.08383
Publikováno v:
Int. Math. Res. Not. IMRN 2018 (2018) No. 18, 5786-5822
In this work, it is shown that a simply-connected, rationally-elliptic torus orbifold is equivariantly rationally homotopy equivalent to the quotient of a product of spheres by an almost-free, linear torus action, where this torus has rank equal to t
Externí odkaz:
http://arxiv.org/abs/1404.3903
Autor:
Kerin, Martin
In this note it is shown that every 7-dimensional Eschenburg space can be totally geodesically embedded into infinitely many topologically distinct 13-dimensional Bazaikin spaces. Furthermore, examples are given which show that, under the known const
Externí odkaz:
http://arxiv.org/abs/1203.2124
Autor:
Galaz-Garcia, Fernando, Kerin, Martin
Let $M^n$, $n \in \{4,5,6\}$, be a compact, simply connected $n$-manifold which admits some Riemannian metric with non-negative curvature and an isometry group of maximal possible rank. Then any smooth, effective action on $M^n$ by a torus $T^{n-2}$
Externí odkaz:
http://arxiv.org/abs/1111.1640