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pro vyhledávání: '"Morita, Yosuke"'
Autor:
Morita, Yosuke
Publikováno v:
J. Fixed Point Theory Appl. 25 (2023), Paper No. 15
We propose a new framework for Conley index theory. The main feature of our approach is that we do not use the notion of index pairs. We introduce, instead, the notions of compactifiable subsets and index neighbourhoods, and formulate and prove basic
Externí odkaz:
http://arxiv.org/abs/2109.10588
Autor:
Morita, Yosuke
Kobayashi [Duke Math. J. (1992)] gave a necessary condition for the existence of compact Clifford-Klein forms in terms of Cartan projections and non-compact dimensions of reductive subgroups. We extend his method to non-reductive subgroups, and give
Externí odkaz:
http://arxiv.org/abs/2106.07848
Autor:
Morita, Yosuke
Publikováno v:
J. Lie Theory 29 (2019), 493-510
In a previous paper, we obtained a cohomological obstruction to the existence of compact manifolds locally modelled on a homogeneous space. In this paper, we give a classification of the semisimple symmetric spaces to which this obstruction is applic
Externí odkaz:
http://arxiv.org/abs/1811.01495
Autor:
Morita, Yosuke
Publikováno v:
J. Math. Soc. Japan 71 (2019), 1153-1171
T. Kobayashi conjectured in the 36th Geometry Symposium in Japan (1989) that a homogeneous space G/H of reductive type does not admit a compact Clifford-Klein form if rank G - rank K < rank H - rank K_H. We solve this conjecture affirmatively. We app
Externí odkaz:
http://arxiv.org/abs/1705.06544
Autor:
Morita, Yosuke
Publikováno v:
Selecta Math. (N.S.) 23 (2017), 1931-1953
In this paper, we continue the study of the existence problem of compact Clifford-Klein forms from a cohomological point of view, which was initiated by Kobayashi-Ono and extended by Benoist-Labourie and the author. We give an obstruction to the exis
Externí odkaz:
http://arxiv.org/abs/1601.07359
Autor:
Morita, Yosuke
Publikováno v:
Publ. Res. Inst. Math. Sci. 53 (2017), 287-298
We give necessary conditions for the existence of a compact manifold locally modelled on a given homogeneous space, which generalize some earlier results, in terms of relative Lie algebra cohomology. Applications include both reductive and nonreducti
Externí odkaz:
http://arxiv.org/abs/1508.04862
Autor:
Morita, Yosuke
Publikováno v:
J. Differential Geom. 100 (2015), 533-545
We provide a necessary condition for the existence of a compact Clifford-Klein form of a given homogeneous space of reductive type. The key to the proof is to combine a result of Kobayashi-Ono with an elementary fact that certain two different Cliffo
Externí odkaz:
http://arxiv.org/abs/1310.7096
Autor:
Nishimiya, Yoshiyuki, Morita, Yosuke, Wu, Chun, Ohyama, Yasushi, Tochigi, Yuki, Okuzawa, Tsugumi, Sakashita, Mami, Asakawa, Atsushi, Irie, Tsutomu, Ohmiya, Yoshihiro, Ohgiya, Satoru, Morita, Naoki
Publikováno v:
Photochemistry & Photobiology; May2024, Vol. 100 Issue 3, p573-586, 14p
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