Zobrazeno 1 - 10
of 99
pro vyhledávání: '"Hajime Urakawa"'
Autor:
Hajime Urakawa
Publikováno v:
Symmetry, Vol 7, Iss 2, Pp 651-674 (2015)
This is a survey on harmonic maps and biharmonic maps into (1) Riemannian manifolds of non-positive curvature, (2) compact Lie groups or (3) compact symmetric spaces, based mainly on my recent works on these topics.
Externí odkaz:
https://doaj.org/article/fc4623e071a54c93a653cfc204b1552d
Autor:
Hajime Urakawa1 urakawa@math.is.tohoku.ac.jp
Publikováno v:
Note di Matematica. 2021, Vol. 41 Issue 1, p1-18. 18p.
Autor:
Nobumitsu Nakauchi1 nakauchi@yamaguchi-u.ac.jp, Hajime Urakawa2 urakawa@math.is.tohoku.ac.jp
Publikováno v:
Note di Matematica. 2018, Vol. 38 Issue 1, p89-100. 12p.
Autor:
Hajime Urakawa
Publikováno v:
Michigan Math. J. 68, iss. 1 (2019), 19-31
We show that, for every principal $G$ -bundle over a complete Riemannian manifold of nonpositive Ricci curvature, if the projection of the $G$ -bundle is biharmonic, then it is harmonic.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2998c24aca13b08715c9008656778832
https://projecteuclid.org/euclid.mmj/1547089468
https://projecteuclid.org/euclid.mmj/1547089468
Publikováno v:
Hiroshima Math. J. 49, no. 1 (2019), 47-115
We give a necessary and sufficient condition for orbits of commutative Hermann actions and actions of the direct product of two symmetric subgroups on compact Lie groups to be biharmonic in terms of symmetric triad with multiplicities. By this criter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::91ebdd638522dfeda72b849cc3285be0
https://doi.org/10.32917/hmj/1554516038
https://doi.org/10.32917/hmj/1554516038
Publikováno v:
Journal of Applied Mathematics and Physics. :2272-2289
This is a survey on our recent works on bi-harmonic maps on CR-manifolds and foliated Riemannian manifolds, and also a research paper on bi-harmonic maps principal G-bundles. We will show, (1) for a complete strictly pseudoconvex CR manifold , every
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::df42227eae12544e884de92e1c53f1f8
https://doi.org/10.4236/jamp.2016.412219
https://doi.org/10.4236/jamp.2016.412219
Autor:
Hajime URAKAWA1 urakawa@math.is.tohoku.ac.jp
Publikováno v:
Prospects of Differential Geometry & Its Related Fields - Proceedings of the 3rd International Colloquium on Differential Geometry & Its Related Fields. 2013, p1-14. 14p.
Publikováno v:
Hokkaido Math. J. 47, no. 3 (2018), 637-654
On a smooth foliated map from a complete, possibly non-compact, foliated Riemannian manifold into another foliated Riemannian manifold of which transversal sectional curvature is non-positive, we will show that, if it is transversally biharmonic and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ebb6cc966324bdcf13aebfc73a8e3e61
https://projecteuclid.org/euclid.hokmj/1537948835
https://projecteuclid.org/euclid.hokmj/1537948835
Autor:
Hajime Urakawa
Publikováno v:
Progress in Differential Geometry, K. Shiohama, ed. (Tokyo: Mathematical Society of Japan, 1993)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7ce75ceeb21d6187940217190a0bad19
https://doi.org/10.2969/aspm/02210347
https://doi.org/10.2969/aspm/02210347
Autor:
Hajime Urakawa
This book provides a wide view of the calculus of variations as it plays an essential role in various areas of mathematics and science. Containing many examples, open problems, and exercises with complete solutions, the book would be suitable as a te