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S-Curvature, E-Curvature, and Berwald Scalar Curvature of Finsler Spaces
Differential Geometry and its Applications, 2023This paper deals with the study of \(S\)-curvature, \(E\)-curvature and Berwald scalar curvature for Finsler spaces. More exactly, the author proves that the \(S\)-curvature of a Finsler space vanishes if and only if the \(E\)-curvature vanishes if and only if the Berwald scalar curvature vanishes.
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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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Acta Applicandae Mathematica, 2001
This paper is the new section 5 of the author's paper ``Affine connection complexes'', which appeared ibid. 59, 215-227 (1999; Zbl 0956.53014). Here is given the proof of Proposition 5.4.: The Riemannian curvature tensor \(R(g)\in\otimes^4\varepsilon\) of any Riemannian manifold \((M,g)\) is a symmetric element of the submodule \(A^2\varepsilon\otimes ...
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This paper is the new section 5 of the author's paper ``Affine connection complexes'', which appeared ibid. 59, 215-227 (1999; Zbl 0956.53014). Here is given the proof of Proposition 5.4.: The Riemannian curvature tensor \(R(g)\in\otimes^4\varepsilon\) of any Riemannian manifold \((M,g)\) is a symmetric element of the submodule \(A^2\varepsilon\otimes ...
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Structural curvature versus amplitude curvature
The Leading Edge, 2011Because they are second-order derivatives, seismic curvature attributes can enhance subtle information that may be difficult to see using first-order derivatives such as the dip magnitude and the dip-azimuth attributes. As a result, these attributes form an integral part of most seismic interpretation projects.
Satinder Chopra, Kurt J. Marfurt
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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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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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