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Discrete Schemes for Gaussian Curvature and Their Convergence
Discrete Gaussian curvature discrete mean curvature geometric
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2012/8/7
In this paper, several discrete schemes for Gaussian curvature are sur-
veyed. The convergence property of a modi痚d discrete scheme for the
Gaussian curvature is proved. Furthermore, a new discrete ...
Angle Deficit Approximation of Gaussian Curvature and Its Convergence over Quadrilateral meshes
Gaussian Curvature Quadrilateral Mesh Convergence
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2012/8/7
We propose a discrete approximation of the Gaussian curvature over quadrilateral
meshes using a linear combination of two angle de痗its. Suppose a surface mesh is
obtained from a sampling of a smooth...
Local Scale-Dependent Non-Gaussian Curvature Perturbations at Cubic Order
E ective Field Theory Cosmology In ation Non-Gaussianity
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2011/10/17
We calculate non-Gaussianities in the bispectrum and trispectrum arising from the cubic term in the local expansion of the scalar curvature perturbation. We compute to three-loop order and for general...
Formulae for the determination of the elements of the Eotvos matrix of the Earth's normal gravity field and a relation between normal and actual Gaussian curvature
Eotvos matrix normal gravity field equipotential surfaces Gauss curvature plumbline curvature
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2011/9/1
Abstract: In this paper we form relations for the determination of the elements of the E\"otv\"os matrix of the Earth's normal gravity field. In addition a relation between the Gauss curvature of the ...
A note on Gaussian curvature of harmonic functions
Gaussian curvature harmonic functions
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2011/2/22
It is proved that the fundamental group of the space of harmonic polynomials of degree n(n ≥ 2), with the same Gaussian curvature is not trivial. Furthermore, we give an example of topologically noneq...
On the Local Isometric Embedding in R^3 of Surfaces with Gaussian Curvature of Mixed Sign
Local Isometric Embedding R^3 of Surfaces Gaussian Curvature of Mixed Sign
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2010/12/15
We study the old problem of isometrically embedding a 2-dimensional Rie-mannian manifold into Euclidean 3-space. It is shown that if the Gaussian curvature vanishes to finite order and its zero set co...
Gaussian Curvature of Postglacial Rebound and the Discovery of Caves Created by Major Earthquakes in Fennoscandia
Gaussian Rebound Caves Major Earthquakes Fennoscandia.
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2009/6/15
Gaussian Curvature of Postglacial Rebound and the Discovery of Caves Created by Major Earthquakes in Fennoscandia.
Convergence Analysis of a Discretization Scheme for Gaussian Curvature over Triangular Surfaces
Gaussian Curvature Surface triangulation Convergence.
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2012/8/1
In this paper, we study the convergent property of a well known discretized scheme of Gaussian curvature, derived from Gauss-Bonnet theorem, over triangulated surface.Suppose the triangulation is obta...