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pro vyhledávání: '"Tomonori Fukunaga"'
Autor:
Tomonori Fukunaga, Masatomo Takahashi
Publikováno v:
Results in Mathematics. 77
Autor:
Tomonori Fukunaga, Masatomo Takahashi
Publikováno v:
Journal of Singularities.
Autor:
Masatomo Takahashi, Tomonori Fukunaga
Publikováno v:
Bulletin of the Brazilian Mathematical Society, New Series. 50:37-65
A framed surface is a smooth surface in the Euclidean space with a moving frame. The framed surfaces may have singularities. We treat smooth surfaces with singular points, that is, singular surfaces more directly. By using the moving frame, the basic
Autor:
Masatomo Takahashi, Tomonori Fukunaga
Publikováno v:
Journal of Geomentry. 108(2):763-774
A framed curve is a smooth curve in the Euclidean space with a moving frame. We call the smooth curve in the Euclidean space the framed base curve. In this paper, we give an existence condition of framed curves. Actually, we construct a framed curve
Autor:
Tomonori Fukunaga, Masatomo Takahashi
Publikováno v:
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. 57:637-653
For a regular plane curve, an involute of it is the trajectory described by the end of a stretched string unwinding from a point of the curve. Even for a regular curve, the involute always has a singularity. By using a moving frame along the front an
Autor:
Tomonori Fukunaga, Masatomo Takahashi
Publikováno v:
Demonstratio Mathematica, Vol 48, Iss 2, Pp 147-166 (2015)
We have already defined the evolutes and the involutes of fronts without inflection points. For regular curves or fronts, we can not define the evolutes at inflection points. On the other hand, the involutes can be defined at inflection points. In th
Autor:
Masatomo Takahashi, Tomonori Fukunaga
Publikováno v:
Journal of geometry. 104(2):297-307
We give a moving frame of a Legendre curve (or, a frontal) in the unit tangent bundle and define a pair of smooth functions of a Legendre curve like as the curvature of a regular plane curve. It is quite useful to analyse the Legendre curves. The exi
Autor:
Tomonori Fukunaga
Publikováno v:
Discrete Mathematics. 313(5):599-604
A. Kawauchi has introduced the notion of warping degrees of knot diagrams and A. Shimizu has given an inequality for warping degrees and crossing numbers of knot diagrams Shimizu (2010) [4] . In this paper, we extend the notion of warping degrees and
Autor:
Masatomo Takahashi, Tomonori Fukunaga
Publikováno v:
Kodai Math. J. 39, no. 2 (2016), 389-398
We study convexity of simple closed frontals of Legendre curves in the Euclidean plane by using the curvature of Legendre curves. We show that for a Legendre curve, the simple closed frontal under conditions is convex if and only if the sign of both
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6f55f9cb3bc972ac13abe8488af99a1a
https://projecteuclid.org/euclid.kmj/1467830145
https://projecteuclid.org/euclid.kmj/1467830145
Autor:
Tomonori Fukunaga
Publikováno v:
Fundamenta Mathematicae. 214:101-118