Zobrazeno 1 - 10
of 60
pro vyhledávání: '"Kokubu, Masatoshi"'
Surfaces with concentric $K$-contours and parallel $K$-contours in Euclidean $3$-space are defined. Crucial examples are presented and characterization of them are given.
Comment: 10 pages, 4 figures
Comment: 10 pages, 4 figures
Externí odkaz:
http://arxiv.org/abs/2404.13650
Autor:
Fujimori, Shoichi, Kawakami, Yu, Kokubu, Masatoshi, Rossman, Wayne, Umehara, Masaaki, Yamada, Kotaro, Yang, Seong-Deog
We show that a certain simply-stated notion of "analytic completeness" of the image of a real analytic map implies the map admits no analytic extension. We also give a useful criterion for that notion of analytic completeness by defining arc-properne
Externí odkaz:
http://arxiv.org/abs/2011.06757
Autor:
Kokubu, Masatoshi
Kenmotsu's formula describes surfaces in Euclidean 3-space by their mean curvature functions and Gauss maps. In Lorentzian 3-space, Akutagawa-Nishikawa's formula and Magid's formula are Kenmotsu-type formulas for spacelike surfaces and for timelike s
Externí odkaz:
http://arxiv.org/abs/1711.05427
Autor:
Fujimori, Shoichi, Hertrich-Jeromin, Udo, Kokubu, Masatoshi, Umehara, Masaaki, Yamada, Kotaro
We investigate the relation between quadrics and their Christoffel duals on the one hand, and certain zero mean curvature surfaces and their Gauss maps on the other hand. To study the relation between timelike minimal surfaces and the Christoffel dua
Externí odkaz:
http://arxiv.org/abs/1701.02134
Autor:
Fujimori, Shoichi, Kawakami, Yu, Kokubu, Masatoshi, Rossman, Wayne, Umehara, Masaaki, Yamada, Kotaro
It is classically known that the only zero mean curvature entire graphs in the Euclidean 3-space are planes, by Bernstein's theorem. A surface in Lorentz-Minkowski 3-space $\boldsymbol{R}^3_1$ is called of mixed type if it changes causal type from sp
Externí odkaz:
http://arxiv.org/abs/1511.07954
Autor:
Fujimori, Shoichi, Kawakami, Yu, Kokubu, Masatoshi, Rossman, Wayne, Umehara, Masaaki, Yamada, Kotaro
The Jorge-Meeks $n$-noid ($n\ge 2$) is a complete minimal surface of genus zero with $n$ catenoidal ends in the Euclidean 3-space $\boldsymbol{R}^3$, which has $(2\pi/n)$-rotation symmetry with respect to its axis. In this paper, we show that the cor
Externí odkaz:
http://arxiv.org/abs/1509.05853
In this paper, we shall prove that space-like surfaces with bounded mean curvature functions in real analytic Lorentzian 3-manifolds can change their causality to time-like surfaces only if the mean curvature functions tend to zero. Moreover, we shal
Externí odkaz:
http://arxiv.org/abs/1508.02514
Autor:
Fujimori, Shoichi, Kawakami, Yu, Kokubu, Masatoshi, Rossman, Wayne, Umehara, Masaaki, Yamada, Kotaro
Catenoids in de Sitter $3$-space $S^3_1$ belong to a certain class of space-like constant mean curvature one surfaces. In a previous work, the authors classified such catenoids, and found that two different classes of countably many exceptional ellip
Externí odkaz:
http://arxiv.org/abs/1507.06695
Publikováno v:
Journal of Geometry; Aug2024, Vol. 115 Issue 2, p1-12, 12p
Autor:
Fujimori, Shoichi, Kawakami, Yu, Kokubu, Masatoshi, Rossman, Wayne, Umehara, Masaaki, Yamada, Kotaro
CMC-1 trinoids (i.e. constant mean curvature one immersed surface with three regular embedded ends) in hyperbolic 3-space H^3 are irreducible generically, and the irreducible ones have been classified. However, the reducible case has not yet been ful
Externí odkaz:
http://arxiv.org/abs/1008.3734