Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Stefano Riolo"'
Publikováno v:
International Mathematics Research Notices. 2023:7961-7975
In this note we show that every integer is the signature of a non-compact, oriented, hyperbolic 4-manifold of finite volume, and give some partial results on the geography of such manifolds. The main ingredients are a theorem of Long and Reid, and th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a4ddacdfd6f077d1e098f853c8abcc4f
https://doi.org/10.1093/imrn/rnac227
https://doi.org/10.1093/imrn/rnac227
Publikováno v:
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Universitat Autònoma de Barcelona
In order to obtain a closed orientable convex projective four-manifold with small positive Euler characteristic, we build an explicit example of convex projective Dehn filling of a cusped hyperbolic four-manifold through a continuous path of projecti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::646d23cf592ca013e493d4036dc4917d
https://doi.org/10.5565/publmat6612215
https://doi.org/10.5565/publmat6612215
Publikováno v:
Geom. Topol. 24, no. 5 (2020), 2647-2674
We exhibit the first examples of compact orientable hyperbolic manifolds that do not have any spin structure. We show that such manifolds exist in all dimensions $n \geq 4$. The core of the argument is the construction of a compact orientable hyperbo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::65c72c057bef09f24245f0e48dbaab95
https://doi.org/10.2140/gt.2020.24.2647
https://doi.org/10.2140/gt.2020.24.2647
Autor:
Stefano Riolo, Andrea Seppi
Publikováno v:
Groups, Geometry, and Dynamics
Groups, Geometry, and Dynamics, European Mathematical Society, In press
HAL
Groups, Geometry, and Dynamics, European Mathematical Society, In press
HAL
In 2010, Kerckhoff and Storm discovered a path of hyperbolic 4-polytopes eventually collapsing to an ideal right-angled cuboctahedron. This is expressed by a deformation of the inclusion of a discrete reflection group (a right-angled Coxeter group) i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d721f15019ae24d0cc081e5d3c768190
https://hdl.handle.net/11585/908250
https://hdl.handle.net/11585/908250
Publikováno v:
Polymers for Advanced Technologies. 31:864-872
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8f7b2650245f978c12af50e606e3e619
https://doi.org/10.1002/pat.4821
https://doi.org/10.1002/pat.4821
Autor:
Leone Slavich, Stefano Riolo
Publikováno v:
Algebr. Geom. Topol. 19, no. 5 (2019), 2653-2676
We prove that there are at least 2 commensurability classes of minimal-volume hyperbolic 4-manifolds. Moreover, by applying a well-known technique due to Gromov and Piatetski-Shapiro, we build the smallest known non-arithmetic hyperbolic 4-manifold.<
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c31bec260a97c0cec39bf36daf83296
https://doi.org/10.2140/agt.2019.19.2653
https://doi.org/10.2140/agt.2019.19.2653
Publikováno v:
Geometriae Dedicata
We show that every plumbing of disc bundles over surfaces whose genera satisfy a simple inequality may be embedded as a convex submanifold in some closed hyperbolic four-manifold. In particular its interior has a geometrically finite hyperbolic struc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6da746c6aeacd6647258d3657c049701
http://hdl.handle.net/11585/851826
http://hdl.handle.net/11585/851826
In this note, we show that there exist cusped hyperbolic 3-manifolds that embed geodesically, but cannot bound geometrically. Thus, being a geometric boundary is a non-trivial property for such manifolds. Our result complements the work by Long and R
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6aa97dc0d70ed0d671fc051836327950
https://hal.science/hal-02006688v2
https://hal.science/hal-02006688v2
Autor:
Alexander Kolpakov, Stefano Riolo
We show that the number of isometry classes of cusped hyperbolic $3$-manifolds that bound geometrically grows at least super-exponentially with their volume, both in the arithmetic and non-arithmetic settings.
Comment: 17 pages, 7 figures; to ap
Comment: 17 pages, 7 figures; to ap
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9c58a8170d91bdec4e9d79284837caa8
Publikováno v:
ResearcherID
Scopus-Elsevier
Scopus-Elsevier
In this paper we raise the question whether every closed Riemannian manifold has a spine of minimal area, and we answer it affirmatively in the surface case. On constant curvature surfaces we introduce the spine systole, a continuous real function on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7838f34ecc617ba39a319cc03cdfeb5e
http://hdl.handle.net/11568/873365
http://hdl.handle.net/11568/873365