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Geometry, Volume 2, Issue 1

March 2025 - 3 articles

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Articles (3)

  • Feature Paper
  • Article
  • Open Access
1,431 Views
13 Pages

In the paper, we consider holomorphically projective mappings of n-dimensional pseudo-Riemannian Kähler and hyperbolic Kähler spaces. We refined the fundamental linear equations of the above problems for metrics of differentiability class C...

  • Article
  • Open Access
829 Views
17 Pages

18 February 2025

A well-known idea is to identify spheres, points, and hyperplanes in Euclidean space Rn with points in real projective space. To address geometric constraints such as intersections, tangencies, and angle requirements, it is important to also encode t...

  • Article
  • Open Access
1 Citations
2,094 Views
35 Pages

How Null Vector Performs in a Rational Bézier Curve with Mass Points

  • Lionel Garnier,
  • Jean-Paul Bécar and
  • Laurent Fuchs

20 January 2025

This article points out the kinematics in tracing a Bézier curve defined by control mass points. A mass point is a point with a non-positive weight, a non-negative weight or a vector with a null weight. For any Bézier curve, the speeds...

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Geometry - ISSN 3042-402X