Results 41 to 50 of about 91 (81)
General helices on a class of generalized cylinders
Open MathematicsWe study unit-speed general helices on a class of generalized cylinders in Euclidean 3-space whose base curve is planar and whose ruling direction is orthogonal to the base plane.
Mollaoğulları Ahmet
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Smooth and Discrete Cone-Nets. [PDF]
Results Math, 2023 Kilian M, Müller C, Tervooren J.
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ON NULL CURVES ON SURFACES AND NULL VECTORS IN LORENTZ SPACE
, 2019 : In this work, we compare the Darboux frame and the Frenet frame of a null curve lying on a spacelike surface in the three-dimensional Lorentz space, and we show that the normal curvature of the curve is a constant.
ÇİFTÇİ, Ünver, ÇÖKEN, A. Ceylan
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Journal for Geometry and Graphics Volume 1 (1997), No. 2, 105–118 The Development of the Oloid
, 2008 . Let two unit circles kA, kB in perpendicular planes be given such that each circle contains the center of the other. Then the convex hull of these circles is called Oloid. In the following some geometric properties of the Oloid are treated analytically.
Hans Dirnböck, Hellmuth Stachel
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Sweeping Surfaces of Polynomial Curves in Euclidean 3-space
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaIn this study, we investigate the surfaces created by the movement of the profile curves through the regular polynomial spine curves. To overcome the restrictions of establishing a frame of the polynomial curves at the points where the second and higher ...
Zhu Yuting +3 more
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Upper bounds for the first eigenvalue of the Dirac operator on surfaces.
, 1999 In this paper we will prove new extrinsic upper bounds for the eigenvalues of the Dirac operator on an isometrically immersed surface M 2 ,! R 3 as well as intrinsic bounds for 2-dimensional compact manifolds of genus zero and genus one. Moreover, we
Ilka Agricola, Thomas Friedrich
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A comparison of the eigenvalues of the Dirac and Laplace operator on the two-dimensional torus.
, 1998 We compare the eigenvalues of the Dirac and Laplace operator on a twodimensional torus with respect to the trivial spin structure. In particular, we compute their variation up to order 4 upon deformation of the flat metric, study the corresponding ...
Ilka Agricola +2 more
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A comparison of the eigenvalues of the Dirac and Laplace operator on the two-dimensional torus.
, 2007 We compare the eigenvalues of the Dirac and Laplace operator on a twodimensional torus with respect to the trivial spin structure. In particular, we compute their variation up to order 4 upon deformation of the flat metric, study the corresponding ...
Ilka Agricola +2 more
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, 2003 The moving frame and associated Gauss-Codazzi equations for surfaces in three-space are introduced. A quaternionic representation is used to identify the Gauss-Weingarten equation with a particular Lax representation.
Paul Bracken
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Avoidance response to CO2 in the lateral horn. [PDF]
PLoS Biol, 2019 Varela N +3 more
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