Results 11 to 20 of about 91 (81)
ON THE DETERMINATION OF A DEVELOPABLE TIMELIKE RULED SURFACE
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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ON NULL CURVES ON SURFACES AND NULL VECTORS IN LORENTZ SPACE
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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SECOND GAUSSIAN CURVATURE OF B-SCROLL SURFACES IN MINKOWSKI 3-SPACE
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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The level sets of functions with bounded critical sets and bounded Hess+ complements
, 2022 We denote by Hess+(f ) the set of all points p ∈ Rn such that the Hessian matrix Hp(f ) of the C2-smooth function f : Rn −→ R is positive definite. In this paper we prove several properties of real-valued functions of several variables by showing the ...
PINTEA, Cornel
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Translation Surfaces Generated by the Adjoint Curve in 3-dimensional Euclidean Space
, 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
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On Soliton Equations in Classical Differential Geometry [PDF]
, 2016 [Valchev Tihomir; Вълчев Тихомир]In this survey report we shall briefly sketch certain problems from the classical differential geometry of curves and surfaces that lead to nonlinear partial differential equations known from soliton theory.
Valchev, Tihomir
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Bour's Theorem under the Conformal Map with Light like Profile Curve
, 2013 A generalized helicoid and a rotational surface have an isometric relation by Bour's theorem. It is that "A generalized helicoid is isometric to a rotational surface.
Ekmekci, F. Nejat +3 more
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Dependence of locally linear embedding on the regularization parameter
, 2010 Locally linear embedding, Dimensionality reduction, Manifold learning, High-dimensional data visualization, 76M27, 53A05, 57N05,
Rasa Karbauskaitė +2 more
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Demonstratio MathematicaAn osculating curve is a type of curve in space that holds significance in the study of differential geometry. In this article, we investigate certain geometric invariants of osculating curves on smooth and regularly immersed surfaces under conformal ...
Singh Kuljeet +2 more
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On Riemann wave superpositions obtained from the Euler system [PDF]
Open Communications in Nonlinear Mathematical PhysicsThe paper contains an analysis of the conditions for the existence of elastic versus non-elastic wave superpositions governed by the Euler system in (1+1)-dimensions.
Łukasz Chomienia +1 more
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