Results 281 to 290 of about 350,893 (316)
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The American Mathematical Monthly, 2015
AbstractUsing a notion of curvature at the vertices of a polygon, we prove an inequality involving the length of the sides of the polygon and the radii of curvature at the vertices.
Juliá Cufí +2 more
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AbstractUsing a notion of curvature at the vertices of a polygon, we prove an inequality involving the length of the sides of the polygon and the radii of curvature at the vertices.
Juliá Cufí +2 more
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Riemann Curvature and Ricci Curvature
2012Curvatures are the central concept in geometry. The notion of curvature introduced by B. Riemann faithfully reveals the local geometric properties of a Riemann metric. This curvature is called the Riemann curvature in Riemannian geometry. The Riemann curvature can be extended to Finsler metrics as well as the sectional curvature.
Xinyue Cheng, Zhongmin Shen
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On the Curvatures of a Surface
American Journal of Mathematics, 19561. The smoothness of H and K. A point set 8 in the (x, y, z) -space is said to be a (small piece of a) surface of class Gn, where n ^ 1, if it is the locus of the endpoints of a vector function X = X(u,v) with three com? ponents which is defined on a two-dimensional (u, v) -domain, possesses con?
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Douglas Curvature and Weyl Curvature
2001There are two important projective invariants of sprays and Finsler metrics. One is a non-Riemannian projective invariant constructed from the Berwald curvature. The other is a Riemannian projective invariant constructed from the Riemann curvature. In this chapter, we will discuss these two projective invariants.
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1997
If you’ve just completed an introductory course on differential geometry, you might be wondering where the geometry went. In most people’s experience, geometry is concerned with properties such as distances, lengths, angles, areas, volumes, and curvature.
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If you’ve just completed an introductory course on differential geometry, you might be wondering where the geometry went. In most people’s experience, geometry is concerned with properties such as distances, lengths, angles, areas, volumes, and curvature.
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Plastic and Reconstructive Surgery, 1985
Penile curvatures are common. They are caused by tethering inelastic tissues that can be from the skin externally, from the congenital fibrous tissue of hypospadias and epispadias, and from inelastic tunica albuginea as in fractures, trauma, or Peyronie's disease.
C E, Horton +3 more
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Penile curvatures are common. They are caused by tethering inelastic tissues that can be from the skin externally, from the congenital fibrous tissue of hypospadias and epispadias, and from inelastic tunica albuginea as in fractures, trauma, or Peyronie's disease.
C E, Horton +3 more
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2001
In this chapter, we discuss several approaches to the problem of measuring how ‘curved’ a surface is. Although they use quite different methods, we show that each of the approaches leads to the same geometric object: the second fundamental form of a surface.
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In this chapter, we discuss several approaches to the problem of measuring how ‘curved’ a surface is. Although they use quite different methods, we show that each of the approaches leads to the same geometric object: the second fundamental form of a surface.
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Computing Curvature, Mean Curvature and Weighted Mean Curvature
2022 IEEE International Conference on Image Processing (ICIP), 2022openaire +1 more source
General Relativity and Gravitation, 1999
Translation from the German of Z. Phys. 10, 377--386 (1922; JFM 48.1031.02).
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Translation from the German of Z. Phys. 10, 377--386 (1922; JFM 48.1031.02).
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Curvature-mediated endocytosis
Nature Reviews Molecular Cell Biology, 2022Paulina Strzyz, Strzyz Paulina
exaly