Zobrazeno 1 - 10
of 632
pro vyhledávání: '"Terek P"'
We show that if $M$ is a closed, connected, oriented surface, and two Anosov magnetic systems on $M$ are conjugate by a volume-preserving conjugacy isotopic to the identity, with their magnetic forms in the same cohomology class, then the metrics are
Externí odkaz:
http://arxiv.org/abs/2409.20545
Autor:
Terek, Ivo
This is an exposition of recent results -- obtained in joint work with Andrzej Derdzinski -- on essentially conformally symmetric (ECS) manifolds, that is, those pseudo-Riemannian manifolds with parallel Weyl curvature which are not locally symmetric
Externí odkaz:
http://arxiv.org/abs/2407.07261
A tensor -- meaning here a tensor field $\Theta$ of any type $(p,q)$ on a manifold -- may be called integrable if it is parallel relative to some torsion-free connection. We provide analytical and geometric characterizations of integrability for diff
Externí odkaz:
http://arxiv.org/abs/2407.04539
Using the notion of magnetic curvature recently introduced by the first author, we extend E. Hopf's theorem to the setting of magnetic systems. Namely, we prove that if the magnetic flow on the s-sphere bundle is without conjugate points, then the to
Externí odkaz:
http://arxiv.org/abs/2404.17726
Autor:
Derdzinski, Andrzej, Terek, Ivo
In the paper [3] the value of the invariant denoted by d and often called "rank" was misstated for a narrow class of examples of ECS manifolds: they were identified as having d = 1 instead of the correct value d = 2. The error was repeated, by citing
Externí odkaz:
http://arxiv.org/abs/2404.09766
Autor:
Yu-Qian Mao, Shahrzad Jahanshahi, Ramy Malty, David A. J. Van Ommen, Yimei Wan, Trevor M. Morey, Stephanie H. W. Chuang, Veronika Pavlova, Choudhary Ahmed, Subha Dahal, Funing Lin, Maria Mangos, Jocelyn Nurtanto, Yuetong Song, Terek Been, Natasha Christie-Holmes, Scott D. Gray-Owen, Mohan Babu, Amy P. Wong, Robert A. Batey, Liliana Attisano, Alan Cochrane, Walid A. Houry
Publikováno v:
Communications Biology, Vol 7, Iss 1, Pp 1-19 (2024)
Abstract The COVID-19 pandemic has created a global health crisis, with challenges arising from the ongoing evolution of the SARS-CoV-2 virus, the emergence of new strains, and the long-term effects of COVID-19. Aiming to overcome the development of
Externí odkaz:
https://doaj.org/article/34c783c190b4473fa3becce3ef2a2d68
Autor:
Derdzinski, Andrzej, Terek, Ivo
Publikováno v:
Journal of Geometric Analysis, vol. 34 (2024), no. 5, art. 144
We show that a Killing field on a compact pseudo-K\"ahler ddbar manifold is necessarily (real) holomorphic. Our argument works without the ddbar assumption in real dimension four. The claim about holomorphicity of Killing fields on compact pseudo-K\"
Externí odkaz:
http://arxiv.org/abs/2309.09820
Autor:
Reber, James Marshall, Terek, Ivo
We extend the results about left-invariant Codazzi tensor fields on Lie groups equipped with left-invariant Riemannian metrics obtained by d'Atri in 1985 to the setting of reductive homogeneous spaces $G/H$, where the curvature of the canonical conne
Externí odkaz:
http://arxiv.org/abs/2306.07444
Autor:
Cook, D. O., Mazzarella, J. M., Helou, G., Alcala, A., Chen, T. X., Ebert, R., Frayer, C., Kim, J., Lo, T., Madore, B. F., Ogle, P. M., Schmitz, M., Singer, L. P., Terek, S., Valladon, J., Wu, X.
We introduce the NASA/IPAC Extragalactic Database (NED) Local Volume Sample (NED-LVS), a subset of $\sim$1.9 million objects with distances out to 1000~Mpc. We use UV and IR fluxes available in NED from all-sky surveys to derive physical properties,
Externí odkaz:
http://arxiv.org/abs/2306.06271
Autor:
Derdzinski, Andrzej, Terek, Ivo
Publikováno v:
Advances in Geometry, vol. 24 (2024), no. 4, pp. 493-503
We construct new examples of compact ECS manifolds, that is, of pseudo-Riemannian manifolds with parallel Weyl tensor that are neither conformally flat nor locally symmetric. Every ECS manifold has rank 1 or 2, the rank being the dimension of a disti
Externí odkaz:
http://arxiv.org/abs/2306.01600