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Displaying 81 – 100 of 183

New rotational integrals in space forms, with an application to surface area estimation

Ximo Gual-Arnau, Luis M. Cruz-Orive (2016)

Applications of Mathematics

A surface area estimator for three-dimensional convex sets, based on the invariator principle of local stereology, has recently motivated its generalization by means of new rotational Crofton-type formulae using Morse theory. We follow a different route to obtain related formulae which are more manageable and valid for submanifolds in constant curvature spaces. As an application, we obtain a simplified version of the mentioned surface area estimator for non-convex sets of smooth boundary.

Notes on the integral geometry in the hyperbolic plane

Santaló, L.A. (1980)

Portugaliae mathematica

O integrální geometrii

Zbyněk Nádeník (1962)

Pokroky matematiky, fyziky a astronomie

On a family of varieties not satisfying Stoka's measurability condition

Leonardo Cirlincione (1983)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

On boundaries of unions of sets with positive reach.

Rataj, J. (2005)

Beiträge zur Algebra und Geometrie

On generalizations of pseudo-harmonic and pseudo-Killing vectors

Muralidhar Prasad, K. D. Singh (1970)

Annales Polonici Mathematici

On Intersystolic Inequalities in Dimension 3.

L. Bérard Bergery, M. Katz (1994)

Geometric and functional analysis

On mean periodic functions on complex hyperbolic spaces.

Volchkov, Vit.V. (2002)

Sibirskij Matematicheskij Zhurnal

On pairs of non measurable linear varieties in A $_{n}$ .

Raguso, G., Rella, L. (2006)

Beiträge zur Algebra und Geometrie

On the Busemann area in Minkowski spaces.

Schneider, Rolf (2001)

Beiträge zur Algebra und Geometrie

On the Euler Characteristic in Spaces with a Separability Property.

H. Groemer (1974)

Mathematische Annalen

On the Growth of Cohomology Classes on Smooth Affine Varieties.

Al Vitter (1978)

Inventiones mathematicae

On the integral geometry of the linear subspaces in a biplanar space

Adrijan Varbanov Borisov (1983)

Archivum Mathematicum

On the measurability of sets of pairs of intersecting nonisotropic straight lines of type beta in the simply isotropic space

Adrijan Varbanov Borisov, Margarita Georgieva Spirova (2009)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

The measurable sets of pairs of intersecting non-isotropic straight lines of type $β$ and the corresponding densities with respect to the group of general similitudes and some its subgroups are described. Also some Crofton-type formulas are presented.

On the measurability of sets of pairs of straight lines in the simply isotropic space

Margarita G. Spirova, Adrijan V. Borisov (2005)

Banach Center Publications

We study the measurability of sets of pairs of straight lines with respect to the group of motions in the simply isotropic space $I ₃^{(1)}$ by solving PDEs. Also some Crofton type formulas are obtained for the corresponding densities.

On the measurability of the conic sections' family in the projective space $P_{n}$

Marius Stoka (2004)

Bollettino dell'Unione Matematica Italiana

In this paper we prove that the non degenerate conic sections' family in the projective space $P_{n}$ is measurable.

Currently displaying 81 – 100 of 183

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Displaying 81 – 100 of 183

New rotational integrals in space forms, with an application to surface area estimation

Notes on the integral geometry in the hyperbolic plane

O integrální geometrii

On a family of varieties not satisfying Stoka's measurability condition

On boundaries of unions of sets with positive reach.

On generalizations of pseudo-harmonic and pseudo-Killing vectors

On Intersystolic Inequalities in Dimension 3.

On mean periodic functions on complex hyperbolic spaces.

On pairs of non measurable linear varieties in A $_{n}$ .

On the Busemann area in Minkowski spaces.

On the Euler Characteristic in Spaces with a Separability Property.

On the Growth of Cohomology Classes on Smooth Affine Varieties.

On the integral geometry of the linear subspaces in a biplanar space

On the measurability of sets of pairs of intersecting nonisotropic straight lines of type beta in the simply isotropic space

On the measurability of sets of pairs of straight lines in the simply isotropic space

On the measurability of the conic sections' family in the projective space $P_{n}$

On the operator of exterior derivation on the Riemannian manifolds with cylindrical ends.

On the Total Absolute Curvature of Closed Curves in Manifolds of Negative Curvature.

On the total absolute curvature of closed curves in spheres.

On the total curvature of surfaces in $E^{4}$

Currently displaying 81 – 100 of 183