Zobrazeno 1 - 10 of 17 pro vyhledávání: '"Fumiko Ohtsuka"'
3
A natural generalization of regular convex polyhedra
Autor: Fumiko Ohtsuka, Jin-ichi Itoh
Publikováno v: Topology and its Applications. 219:43-54
As a natural generalization of surfaces of Platonic solids, we define a class of polyhedra, called simple regular polyhedral BP-complexes, as a class of 2-dimensional polyhedral metric complexes satisfying certain conditions on their vertex sets, and
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::495f1d57c1369b99c739989ec3a81b9e
https://doi.org/10.1016/j.topol.2017.01.004
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4
Total curvature of noncompact piecewise Riemannian 2-polyhedra
Autor: Fumiko Ohtsuka, Jin-ichi Itoh
Publikováno v: Tsukuba J. Math. 29, no. 2 (2005), 471-493
In this paper, we treat piecewise Riemannian 2-polyhedra which are combinatorial 2-polyhedra such that each 2-simplex is isometric to a triangle bounded by three smooth curves on some Riemannian 2-manifold. We will introduce the total curvature $C(X)
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f0e1af7b965872f8cee98ce66a458422
https://tsukuba.repo.nii.ac.jp/records/29683
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7
Total excess on length surfaces
Autor: Yoshiroh Machigashira, Fumiko Ohtsuka
Publikováno v: Mathematische Annalen. 319:675-706
We study the space of directions on a length space and examine examples having particular spaces of directions. Then we generalize the notion of total excess on length spaces satisfying some suitable conditions, which we call good surfaces. For good
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ede626fcaed70f04e1fa5a88c8de2a30
https://doi.org/10.1007/pl00004454
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8
Total excess and Tits metric for piecewise Riemannian 2-manifolds
Autor: Fumiko Ohtsuka, Kazuhiro Kawamura
Publikováno v: Topology and its Applications. 94(1-3):173-193
A piecewise Riemannian 2 -manifold is a combinatorial 2-manifold with a triangulation such that each 2-simplex is a geodesic triangle of some Riemannian 2-manifold. In this paper, we study the total excess e ( X ) of a simply connected nonpositively
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::52d92514b98fed5f77ac062ba458e74b
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9
The Euclidean factor of a Hadamard manifold
Autor: Fumiko Ohtsuka, Toshiaki Adachi
Publikováno v: Proceedings of the American Mathematical Society. 113:209-212
The ideal boundary X ( ∞ ) X(\infty ) of a Hadamard manifold X X is the set of asymptotic classes of rays on X X . We shall characterize the Euclidean factor of X X by information on X ( ∞ ) X(\infty ) . Under the assumption that the diameter of
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::dd037636331df18af524407b4f1b13ee
https://doi.org/10.1090/s0002-9939-1991-1074746-3
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10
Hausdorff approximations on Hadamard manifolds and their ideal boundaries
Autor: Fumiko Ohtsuka
Publikováno v: Tsukuba J. Math. 20, no. 2 (1996), 425-433
The concept if ideal boundary of Hadamard manifolds was first introduced by Eberlein and O'Neill [3], and then their Tits metrics were defined by Gromov [2] in the following manner. ...
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::06672225403d53ad26d876461e99adc2
https://doi.org/10.21099/tkbjm/1496163092
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