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Isoperimetry in Surfaces of Revolution with Density [PDF]
Missouri Journal of Mathematical Sciences, 2018 The isoperimetric problem with a density or weighting seeks to enclose prescribed weighted volume with minimum weighted perimeter. According to Chambers' recent proof of the log-convex density conjecture, for many densities on $\mathbb{R}^n$ the answer is a sphere about the origin. We seek to generalize his results to some other spaces of revolution or
Nat Sothanaphan, Alejandro Diaz
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A New Approach to Rotational Weingarten Surfaces
Mathematics, 2022 Weingarten surfaces are those whose principal curvatures satisfy a functional relation, whose set of solutions is called the curvature diagram or the W-diagram of the surface.
Paula Carretero, Ildefonso Castro
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Some New Results of Revolution Surfaces in Euclidean 3-Space E3 [PDF]
Assiut University Journal of Multidisciplinary Scientific Research, 2023 In this paper, a new technique to study some characteristic properties of revolution surfaces in Euclidean 3-space . We construct and obtain the necessary conditions of Weingarten, linear Weingarten, bi-conservative, harmonic, bi-harmonic and stability ...
Mohamed Soliman +2 more
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On surfaces that are intrinsically surfaces of revolution [PDF]
Journal of Geometry, 2017 23 pages, 10 ...
Freese, Daniel, Weber, Matthias
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Determination of intersecting curve between two surfaces of revolution with parallel axes by use of auxiliary planes and auxiliary spheres [PDF]
Facta Universitatis. Series: Architecture and Civil Engineering, 2002 In this paper the space intersecting curve between two surfaces of revolution with parallel axes of surfaces have been determined. Two mathematical models for determination of intersecting curve between two surfaces of revolution have been formed ...
Obradović Ratko
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Classification of Surfaces of Coordinate Finite Type in the Lorentz–Minkowski 3-Space
Axioms, 2022 In this paper, we define surfaces of revolution without parabolic points in three-dimensional Lorentz–Minkowski space. Then, we classify this class of surfaces under the condition ΔIIIx=Ax, where ΔIII is the Laplace operator regarding the third ...
Hassan Al-Zoubi +3 more
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INTERSECTIONS OF SURFACES OF REVOLUTION
Facta Universitatis, Series: Mathematics and Informatics, 2022 In this paper, we deal with surfaces of revolution and their intersections. We start with the surfaces of revolution RS that have their axis along the x3–axis and find intersections with a line, a plane, and then intersection of two such RS. Furthermore, we apply formulas for the intersection with a line to determine the visibility of RS.
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Zeta function on surfaces of revolution [PDF]
Journal of Physics A: Mathematical and Theoretical, 2012 In this paper we applied the contour integral method for the zeta function associated with a differential operator to the Laplacian on a surface of revolution. Using the WKB expansion, we calculated the residues and values of the zeta function at several important points. The results agree with those obtained from the heat kernel expansion.
Jeffres, Thalia D. +2 more
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On the Affine Image of a Rational Surface of Revolution
Mathematics, 2020 We study the properties of the image of a rational surface of revolution under a nonsingular affine mapping. We prove that this image has a notable property, namely that all the affine normal lines, a concept that appears in the context of affine ...
Juan G. Alcázar
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A cubic surface of revolution [PDF]
The Mathematical Gazette, 2014 We develop a direct and elementary (calculus-free) exposition of the famous cubic surface of revolution x^3+y^3+z^3-3xyz=1.12 pages. We have added a second elementary proof that the surface is of revolution.
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