Orthogonal projections based on hyperbolic and spherical \(n\)-simplex

DOI10.1155/2015/808250zbMath1375.51013arXiv1412.7368OpenAlexW2160439119WikidataQ59102556 ScholiaQ59102556MaRDI QIDQ277771

Atakan T. Yakut, Murat Savas, Baki Karliga

Publication date: 2 May 2016

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.7368

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10)

Related Items

Synthetic geometry in hyperbolic simplices

Cites Work

• Determinantal identities: Gauss, Schur, Cauchy, Sylvester, Kronecker, Jacobi, Binet, Laplace, Muir, and Cayley
• Projections of hypersurfaces in the hyperbolic space to hyperhorospheres and hyperplanes
• The tilt formula for generalized simplices in hyperbolic space
• Edge matrix of hyperbolic simplices
• Hadamard-type theorems for hypersurfaces in hyperbolic spaces
• Vertex angles of a simplex in hyperbolic space \(H^n\)
• Singularities of systems of rays
• Families of Maps from the Plane to The Plane
• Families of surfaces: Height functions and projections to planes
• Generic Geometry, Transversality and Projections
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