Zobrazeno 1 - 10
of 113
pro vyhledávání: '"Generalized helicoid"'
Publikováno v:
Key Engineering Materials. 455:458-461
The helical surfaces are widely applied to both power transmission and fluid compression or pumping. Helicoid is measured by digitized measurement with the coordinate measuring machine (CMM) in this paper. A numerical measuring method which is differ
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Publikováno v:
Key Engineering Materials; December 2010, Vol. 455 Issue: 1 p458-461, 4p
Autor:
Dillen, Franki
Publikováno v:
Proceedings of the American Mathematical Society, 1992 Mar 01. 114(3), 795-798.
Externí odkaz:
https://www.jstor.org/stable/2159408
Autor:
Spiro Karigiannis, Thomas A. Ivey
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications.
A twisted-austere $k$-fold $(M, \mu)$ in $\mathbb R^n$ consists of a $k$-dimensional submanifold $M$ of $\mathbb R^n$ together with a closed $1$-form $\mu$ on $M$ such that the 'twisted conormal bundle' $N^* M + d \mu$ is a special Lagrangian submani
Publikováno v:
Scientific Reports, Vol 8, Iss 1, Pp 1-10 (2018)
Scientific Reports
Scientific Reports
The mammalian heart must function as an efficient pump while simultaneously conducting electrical signals to drive the contraction process. In the ventricles, electrical activation begins at the insertion points of the Purkinje network in the endocar
Publikováno v:
IEEE Transactions on Pattern Analysis and Machine Intelligence. 37:2492-2504
We study the space of first order models of smooth frame fields using the method of moving frames. By exploiting the Maurer-Cartan matrix of connection forms we develop geometrical embeddings for frame fields which lie on spherical, ellipsoidal and g
Autor:
Thomas A. Ivey, Marianty Ionel
Publikováno v:
Differential Geometry and its Applications. 30:588-603
We classify 4-dimensional austere submanifolds in Euclidean space ruled by 2-planes. The algebraic possibilities for second fundamental forms of an austere 4-fold M were classified by Bryant, falling into three types which we label A, B, and C. We sh
Publikováno v:
Journal of Dynamical Systems and Geometric Theories. 10:149-172
A generalized helicoid and a rotational surface have a isometric relation by Bour’s theorem. It is that ”A generalized helicoid is isometric to a rotational surface. Hence, helices on the helicoid correspond to parallel circles on the rotational
Autor:
Guozhao Wang, Gang Xu
Publikováno v:
Journal of Zhejiang University-SCIENCE A. 7:1544-1549
Minimal surface is extensively employed in many areas. In this paper, we propose a control mesh representation of a class of minimal surfaces, called generalized helicoid minimal surfaces, which contain the right helicoid and catenoid as special exam