Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Shimpei Kobayashi"'
Publikováno v:
Complex Manifolds. 9(1):285-336
We study symmetric minimal surfaces in the three-dimensional Heisenberg group Nil3 using the generalized Weierstrass type representation, the so-called loop group method. In particular, we will present a general scheme for how to construct minimal su
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c057487df6f40a6921123570146730ae
http://hdl.handle.net/2115/87520
http://hdl.handle.net/2115/87520
Publikováno v:
Information Geometry. 4:177-188
We show that the statistical manifold of normal distributions is homogeneous. In particular, it admits a $2$-dimensional solvable Lie group structure. In addition, we give a geometric characterization of the Amari-Chentsov $\alpha$-connections on the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c119ca572ec4988af04198268e171c40
https://doi.org/10.1007/s41884-020-00037-z
https://doi.org/10.1007/s41884-020-00037-z
Autor:
Shimpei Kobayashi, Jun-ichi Inoguchi
Publikováno v:
Science China Mathematics. 64:1479-1492
Demoulin surfaces in real projective $3$-space are investigated. Our result enable us to establish a generalized Weierstrass type representation for definite Demoulin surfaces by virtue of primitive maps into a certain semi-Riemannian $6$-symmetric s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::72550cb8ea8004582189e54299eb4b86
https://doi.org/10.1007/s11425-020-1738-0
https://doi.org/10.1007/s11425-020-1738-0
Publikováno v:
Annali di Matematica Pura ed Applicata (1923 -). 200:521-546
It has been known for some time that there exist $5$ essentially different real forms of the complex affine Kac-Moody algebra of type $A_2^{(2)}$ and that one can associate $4$ of these real forms with certain classes of "integrable surfaces", such a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a10cfa4d992297d93627254b39035914
https://doi.org/10.1007/s10231-020-01005-1
https://doi.org/10.1007/s10231-020-01005-1
Publikováno v:
Mathematische Zeitschrift. 296:1751-1775
In this paper we investigate surfaces in $$\mathbb {C}P^2$$ without complex points and characterize the minimal surfaces without complex points and the minimal Lagrangian surfaces by Ruh–Vilms type theorems. We also discuss the liftability of an im
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5d0904a65f0661e608c036a965a5732f
https://doi.org/10.1007/s00209-020-02497-6
https://doi.org/10.1007/s00209-020-02497-6
Autor:
Hirotaka Kiyohara, Shimpei Kobayashi
Timelike surfaces in the three-dimensional Heisenberg group with left invariant semi-Riemannian metric are studied. In particular, non-vertical timelike minimal surfaces are characterized by the non-conformal Lorentz harmonic maps into the de Sitter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d40aafc7bf381d1e850662ae4de0dcff
http://arxiv.org/abs/2203.03834
http://arxiv.org/abs/2203.03834
Autor:
Shimpei Kobayashi
We study minimal cylinders in the three-dimensional Heisenberg group ${\rm Nil}_3$ using the generalized Weierstrass type representation, the so-called loop group method. We characterize all non-vertical minimal cylinders in terms of pairs of two clo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::28f545588c2e0cac20fcae8b62b9f4ab
The contribution of this paper is twofold. First, we generalize the definition of discrete isothermic surfaces. Compared with the previous ones, it covers more discrete surfaces, e.g., the associated families of discrete isothermic minimal and non-ze
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1050df1669e1d0a09609edf3b7783d8f
http://arxiv.org/abs/2003.07286
http://arxiv.org/abs/2003.07286
Autor:
Shimpei Kobayashi
Publikováno v:
Journal of Geometry and Physics. 119:208-223
On the basis of loop group decompositions (Birkhoff decompositions), we give a discrete version of the nonlinear d’Alembert formula, a method of separation of variables of difference equations, for discrete constant negative Gauss curvature (pseudo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::29cd024d33ea67c226b3ffdad5825539
https://doi.org/10.1016/j.geomphys.2017.05.001
https://doi.org/10.1016/j.geomphys.2017.05.001
Autor:
Shimpei Kobayashi, Nozomu Matsuura
We present a representation formula for discrete indefinite affine spheres via loop group factorizations. This formula is derived from the Birkhoff decomposition of loop groups associated with discrete indefinite affine spheres. In particular we show
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::904956df5849921ccc072f7ccaa15142
http://arxiv.org/abs/2001.07943
http://arxiv.org/abs/2001.07943