Results 261 to 270 of about 1,470,963 (294)

Sagittal Posture Parameters of the Spine and Exposure to Awkward Postures in Mattress Manufacture Workers: An Analytical Cross-Sectional Study. [PDF]

open access: yesJ Funct Morphol Kinesiol
Hijazo-Larrosa S   +7 more
europepmc   +1 more source

Pinching the Sectional Curvature on Open Manifolds

open access: yesThe Journal of Geometric Analysis, 2017
In this paper, the author proves the following theorem: Theorem. Let \(M\) be an open manifold. Given \(\delta >0\) and \(a\in R\), there exists a Riemannian metric on \(M\) such that all sectional curvatures are in \((a-\delta, a+\delta)\).
Streil, Manuel
openaire   +2 more sources

Cross-sectional design with curvature constraints

Computer-Aided Design, 2005
A practical example of B-spline curve control points manipulation for the geometric construction of a free form shape is presented. Elements of a cross-sectional design methodology are used in conjunction with a skinning type operator for the definition of a B-spline surface.
Anas Bentamy   +2 more
openaire   +1 more source

Sectional Curvatures and Characteristic Classes

The Annals of Mathematics, 1964
We are concerned here with the relationship between the curvature properties of a riemannian manifold X and the global topological and differential invariants of X. An interesting result in this direction is Chern's theorem [6] that if X is compact, orientable, and has constant riemannian sectional curvature, then all Pontrjagin classes of X (with real
openaire   +1 more source

Sectional curvatures in nonlinear optimization

Journal of Global Optimization, 2007
Let \(M[h]=\{ x\in\mathbb R^n: h_j(x)=0\), \(j=1,\dots,n-k \}\), where \(k>0\), \(h_j \in C^2\) \((j=1, \dots,n-k)\). Suppose that the Jacobian matrix \(Jh(x)\) of \(h\) at \(x\) is of rank \(n-k\) for all \(x \in M[h]\). The author gives an explicit expression for the sectional curvature \(K_{M[h]}(x_0,w_1,w_2)\) of the manifold \(M[h]\) at a point ...
openaire   +3 more sources

GENERAL RELATIVITY AND SECTIONAL CURVATURE

International Journal of Geometric Methods in Modern Physics, 2006
A discussion is given of the sectional curvature function on a four-dimensional Lorentz manifold and, in particular, on the space–time of Einstein's general relativity theory. Its tight relationship to the metric tensor is demonstrated and some of its geometrical and algebraic properties evaluated.
openaire   +1 more source

Sectional-curvature preserving skinning surfaces

Computer Aided Geometric Design, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Panagiotis D. Kaklis   +1 more
openaire   +1 more source

Sectional curvature and the energy–momentum tensor

Classical and Quantum Gravity, 2005
\textit{J.~Ehlers and W.~Kundt} [Gravitation: An Introduction to Current Research, ed. L.~Witten, New York: Wiley, 1962, p. 49] showed that if \(M\) is a spacetime and \(p\in M\), the statement that the Einstein space condition holds at \(p\) is equivalent to the statement that the sectional curvatures of each of any orthogonal pair of non-null 2 ...
Hall, G. S., MacNay, Lucy
openaire   +2 more sources

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