Results 91 to 100 of about 13,708 (218)

Visibility and Intersection Density for Boolean Models in Hyperbolic Space

Mathematische Nachrichten, Volume 299, Issue 9, Page 2542-2565, September 2026.
ABSTRACT For Poisson particle processes in hyperbolic space we introduce and study concepts analogous to the intersection density and the mean visible volume, which were originally considered in the analysis of Boolean models in Euclidean space. In particular, we determine a necessary and sufficient condition for the finiteness of the mean visible ...
Tillmann Bühler, Daniel Hug, Christoph Thäle   +2 more
wiley   +1 more source

Computing periods of hypersurfaces

Mathematics of Computation, 2019
33 pages; Final version. Fixed typos, minor expository changes.
openaire   +5 more sources

The three‐step test in international copyright—a global framework for generative AI training

American Business Law Journal, Volume 63, Issue 3, Page 265-298, Fall 2026.
Abstract The training of generative artificial intelligence (genAI) models involves the processing of large datasets, which often include copyrighted materials, thereby raising questions of copyright infringement. These questions tend to center on whether such use constitutes fair use or falls under text and data mining (TDM) exceptions.
Nicola Lucchi, Tim W. Dornis, Pascal T. Sierek   +2 more
wiley   +1 more source

On area comparison and rigidity involving the scalar curvature [PDF]

In this thesis we study the effects of lower bounds for the curvature of a Riemannian manifold M on the geometry and topology of closed, minimal hypersurfaces.
Moraru, Vlad
core  

Complete hypersurfaces with constant scalar curvature in a sphere [PDF]

, 2005
summary:In this paper, by using Cheng-Yau's self-adjoint operator $\square$, we study the complete hypersurfaces in a sphere with constant scalar ...
Li, Hongxia, Liu, Ximin
core   +1 more source

On Lightlike Geometry of Para-Sasakian Manifolds

The Scientific World Journal, 2014
We study lightlike hypersurfaces of para-Sasakian manifolds tangent to the characteristic vector field. In particular, we define invariant lightlike hypersurfaces and screen semi-invariant lightlike hypersurfaces, respectively, and give examples ...
Bilal Eftal Acet, Selcen Yüksel Perktaş, Erol Kılıç   +2 more
doaj   +1 more source

Lightlike Hypersurfaces of Indefinite Generalized Sasakian Space Forms

Journal of Applied Mathematics, 2015
We study lightlike hypersurfaces M of an indefinite generalized Sasakian space form M-(f1,f2,f3), with indefinite trans-Sasakian structure of type (α,β), subject to the condition that the structure vector field of M- is tangent to M.
Dae Ho Jin
doaj   +1 more source

Impact of Ambient Conformal Vector Fields on Yamabe Solitons on Riemannian Hypersurfaces

Mathematics
We investigate Yamabe solitons on Riemannian hypersurfaces induced by conformal vector fields in Riemannian and Lorentzian manifolds, with an emphasis on the tangential component.
Norah Alshehri
doaj   +1 more source

On the RICCI Metric of a Hypersurface

Mathematische Nachrichten, 1991
Assume the Riemannian manifold \((M,\langle\;,\;\rangle)\) to have positive Ricci curvature; then by the Ricci tensor a second Riemannian metric, denoted by \(\langle\;,\;\rangle_ *\), is defined on \(M\). In the present paper the author studies this metric on ovaloids in Euclidean space \(E^{n+1}\).
openaire   +2 more sources

On constant higher order mean curvature hypersurfaces in Hn×R ${\mathbb{H}}^{n}{\times}\mathbb{R}$

Advanced Nonlinear Studies
We classify hypersurfaces with rotational symmetry and positive constant r-th mean curvature in Hn×R ${\mathbb{H}}^{n}{\times}\mathbb{R}$ . Specific constant higher order mean curvature hypersurfaces invariant under hyperbolic translation are also ...
Nelli Barbara, Pipoli Giuseppe, Russo Giovanni   +2 more
doaj   +1 more source