Zobrazeno 1 - 10
of 32
pro vyhledávání: '"William Wylie"'
Publikováno v:
PLoS Computational Biology, Vol 13, Iss 9, p e1005761 (2017)
The dominance of the major transcript isoform relative to other isoforms from the same gene generated by alternative splicing (AS) is essential to the maintenance of normal cellular physiology. However, the underlying principles that determine such d
Externí odkaz:
https://doaj.org/article/537f31f69c2d46dea379c594028e05f1
We show that an $n$-dimensional Riemannian manifold with $n$-nonnegative or $n$-nonpositive curvature operator of the second kind has restricted holonomy $SO(n)$ or is flat. The result does not depend on completeness and can be improved provided the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8affb28426b68dc881f5c349f1c32c79
Autor:
Peter Petersen, William Wylie
Publikováno v:
Differential Geometry and its Applications. 84:101929
We prove structure results for homogeneous spaces that support a non-constant solution to two general classes of equations involving the Hessian of a function and an invariant 2-tensor. We also consider trace-free versions of these systems. Our resul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dbc8ca668f6a6bdf64af40add0260690
https://doi.org/10.1016/j.difgeo.2022.101929
https://doi.org/10.1016/j.difgeo.2022.101929
Publikováno v:
Calculus of Variations and Partial Differential Equations. 60
Proposition 3.1 of our manuscript (arXiv:1410.7303) cited Theorem 1.1 of Cao-Tran announced paper in 2013 (arXiv:1311.0846).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e1e72fc3a2744e55e953be0264ae51b0
https://doi.org/10.1007/s00526-020-01892-5
https://doi.org/10.1007/s00526-020-01892-5
Autor:
William Wylie
Publikováno v:
Transactions of the American Mathematical Society. 369:6661-6681
We prove a new generalization of the Cheeger-Gromoll splitting theorem where we obtain a warped product splitting under the existence of a line. The curvature condition in our splitting is a curvature dimension inequality of the form $CD(0,1)$. Even
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b958d6332463c7f9f7983ad8ac8576dd
https://doi.org/10.1090/tran/7003
https://doi.org/10.1090/tran/7003
Autor:
William Wylie, Lee Kennard
Publikováno v:
Indiana University Mathematics Journal. 66:419-462
In this paper, we give a new generalization of positive sectional curvature called positive weighted sectional curvature. It depends on a choice of Riemannian metric and a smooth vector field. We give several simple examples of Riemannian metrics whi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::13f8d5012cb2e046c9139d87d5c62b7d
https://doi.org/10.1512/iumj.2017.66.6013
https://doi.org/10.1512/iumj.2017.66.6013
We provide bounds on the first Betti number and structure results for the fundamental group of horizon cross-sections for extreme stationary vacuum black holes in arbitrary dimension, without additional symmetry hypotheses. This is achieved by exploi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c5653bd19701a37bc933246772b85e33
http://arxiv.org/abs/1804.01220
http://arxiv.org/abs/1804.01220
Autor:
William Wylie
Publikováno v:
Geometriae Dedicata. 178:151-169
In this paper we introduce two new notions of sectional curvature for Riemannian manifolds with density. Under both notions of curvature we classify the constant curvature manifolds. We also prove generalizations of the theorems of Cartan-Hadamard, S
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e4422bf6f80793a746256c5ce27e7922
https://doi.org/10.1007/s10711-015-0050-3
https://doi.org/10.1007/s10711-015-0050-3
Publikováno v:
Asian Journal of Mathematics. 19:135-170
In this paper we study the space of solutions to an overdetermined linear system involving the Hessian of functions. We show that if the solution space has dimension greater than one, then the underlying manifold has a very rigid warped product struc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::22ba87c39c3c7bd1815b4c1099b9bf2f
https://doi.org/10.4310/ajm.2015.v19.n1.a6
https://doi.org/10.4310/ajm.2015.v19.n1.a6
Autor:
William Wylie, Eric Woolgar
We analyze Lorentzian spacetimes subject to curvature-dimension bounds using the Bakry-\'Emery-Ricci tensor. We extend the Hawking-Penrose type singularity theorem and the Lorentzian timelike splitting theorem to synthetic dimensions $N\le 1$, includ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::56f86be5b47a71ee6c1b095e1755c6d4
http://arxiv.org/abs/1707.09058
http://arxiv.org/abs/1707.09058