Results 11 to 20 of about 88 (84)
Stationary-Angle Conditions and Bertrand Offsets in Timelike-Ruled Surfaces
Advances in Mathematical PhysicsMSC2020 Classification: 53A04, 53A05 ...
Areej A. Almoneef, Rashad A. Abdel-Baky
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ON NULL CURVES ON SURFACES AND NULL VECTORS IN LORENTZ SPACE [PDF]
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009 : 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.
A. Ceylan ÇÖKEN
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ON THE DETERMINATION OF A DEVELOPABLE TIMELIKE RULED SURFACE [PDF]
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009 : This paper gives a method for determining a developable timelike ruled surface by using dual vector calculus. A developable timelike ruled surface can be parameterized in the form m(t, u) =p(t) +u x(t) ( p(t) is called the base curve of m(t, u)).
Mustafa KAZAZ
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SECOND GAUSSIAN CURVATURE OF B-SCROLL SURFACES IN MINKOWSKI 3-SPACE [PDF]
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009 : In this paper, we have studied the second Gaussian curvature KII of B-Scroll surfaces and extension of the B-Scroll surfaces in the Minkowski 3-space (, d31R31R2x + d2y- d2z) .
Erdal ÖZÜSAĞLAM
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, 2022 In this paper, we study the regularization of 3D curves connecting two points. We propose an energy-based formulation which is an extension to 3D of the geodesic active contours introduced in 2D by Caselles et al. in 1997.
Alvarez, Luis, Luis Alvarez
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Interpolation between the isoperimetric ratio and curvature for plane curves and an application to curvature flows with non-local terms [PDF]
, 2019 埼玉大学博士(理学)47 p.Several inequalities for the isoperimetric ratio for plane curves are derived. In particular, we obtain interpolation inequalities between the deviation of curvature and the isoperimetric ratio.
中村, 恒平 +1 more
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A study of tube-like surfaces according to type 2 Bishop frame in Euclidean space [PDF]
, 2017 The main goal of this paper is the study of the classical differential geometry of a special kind of tube surfaces, so-called tube-like surface in 3- dimensional Euclidean space E3.
ABDEL-AZIZ , Hossam S.
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Translation Surfaces Generated by the Adjoint Curve in 3-dimensional Euclidean Space [PDF]
, 2023 In this talk, we examined the translation surfaces formed by a curve with constant curvature and its adjointcurve. We calculated first fundamental form, second fundamental form, Gaussian curvature and mean cur-vature of the translation surface.
Saltık, Burçin, Yüksel, Nural
core
Biharmonic curves in Minkowski 3‐space
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 21, Page 1365-1368, 2003., 2003 We give a differential geometric interpretation for the classification of biharmonic curves in semi‐Euclidean 3‐space due to Chen and Ishikawa (1991).
Jun-Ichi Inoguchi
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An equality for the curvature function of a simple and closed curve on the plane
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 49, Page 3115-3122, 2003., 2003 We prove an equality for the curvature function of a simple and closed curve on the plane. This equality leads to another proof of the four‐vertex theorem in differential geometry. While examining the regularity assumption on the curve for the equality, we make comments on the relation between the boundary regularity of a Riemann mapping and two ...
Biao Ou
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