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Akademický článek
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The Power of the Tangent Bundle of the Real Projective Space, Its Complexification and Extendibility
Autor:
Kobayashi, Teiichi, Yoshida, Toshio
Publikováno v:
Proceedings of the American Mathematical Society, 2006 Jan 01. 134(1), 303-310.
Externí odkaz:
https://www.jstor.org/stable/4098364
Publikováno v:
Proceedings of the American Mathematical Society, 1997 Dec 01. 125(12), 3753-3755.
Externí odkaz:
https://www.jstor.org/stable/2162282
Autor:
Lorenzo Venturello, Hailun Zheng
Publikováno v:
Combinatorica. 41:127-146
We construct a family of PL triangulations of the d-dimensional real projective space ℝPd on $$\Theta \left( {{{\left( {\tfrac{{1 + \sqrt 5 }}{2}} \right)}^{d + 1}}} \right)$$ vertices for every $$d \geqslant 1$$ . This improves a construction due
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1a26fa414400dd0a8ade9924112e64e1
https://doi.org/10.1007/s00493-020-4351-2
https://doi.org/10.1007/s00493-020-4351-2
Autor:
Mitul Islam, Andrew Zimmer
Publikováno v:
Journal of the London Mathematical Society. 103:470-489
In this paper, we consider discrete groups in ${\rm PGL}_d(\mathbb{R})$ acting convex co-compactly on a properly convex domain in real projective space. For such groups, we establish an analogue of the well known flat torus theorem for ${\rm CAT}(0)$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d1ddeb7a424c0484e6d68673cd3b7a7
https://doi.org/10.1112/jlms.12381
https://doi.org/10.1112/jlms.12381
Autor:
Tianshi Lu, Chunsheng Ma
Publikováno v:
Journal of Theoretical Probability. 33:1630-1656
The covariance matrix function is characterized in this paper for a Gaussian or elliptically contoured vector random field that is stationary, isotropic, and mean square continuous on the compact two-point homogeneous space. Necessary and sufficient
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::44670081079c0c6dc5f783f451d7ce92
https://doi.org/10.1007/s10959-019-00920-1
https://doi.org/10.1007/s10959-019-00920-1
Autor:
Khazhgali Kozhasov, Antonio Lerario
Publikováno v:
Discrete & Computational Geometry. 63:229-254
Motivated by questions in real enumerative geometry (Borcea et al., in Discrete Comput Geom 35(2):287–300, 2006; Burgisser and Lerario, in J Reine Angew Math, https://doi.org/10.1515/crelle-2018-0009, 2018; Megyesi and Sottile, in Discrete Comput G
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c890b8c06477f6acaba25b8d1c43648
https://doi.org/10.1007/s00454-019-00067-0
https://doi.org/10.1007/s00454-019-00067-0
Publikováno v:
Indian Journal of Pure and Applied Mathematics. 50:23-34
Let G = ℤ2 act freely on a finitistic space X with mod 2 cohomology ring isomorphic to the product of a real projective space and 2-sphere $$\mathbb{S}^2$$ . In this paper, we determine the Conner and Floyd’s mod 2 cohomology index and the Volovi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3e1d84c08ab2bf458378bde5c847a7b2
https://doi.org/10.1007/s13226-019-0304-0
https://doi.org/10.1007/s13226-019-0304-0
Autor:
Nguyễn H. V. Hưng, Lưu X. Trường
Publikováno v:
Comptes Rendus Mathematique. 357:111-114
A chain-level representation of the Singer transfer for any left A -module is constructed. We prove that the image of the Singer transfer Tr ⁎ R P ∞ for the infinite real projective space is a module over the image of the transfer Tr ⁎ for the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0eb7c4b4d3d42a09e7b1a84b2a9a2784
https://doi.org/10.1016/j.crma.2019.01.001
https://doi.org/10.1016/j.crma.2019.01.001