Journal of Geometry
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V -Modell der isotropen Ebene
Journal of Geometry - Tập 85 - Trang 157-170 - 2006
A new model of isotropic plane called V-model is built, where V-points are points in the usual sense and V-straight lines are conics. A relationship with the affine model of isotropic plane is established. Furthermore, conics in the V-model are constructed.
Isoperimetric inequalities and conjugate points on Lorentzian surfaces
Journal of Geometry - Tập 65 Số 1-2 - Trang 31-49 - 1999
The Poincaré Model of Hyperbolic Geometry in an Arbitrary Real Inner Product Space and an Elementary Construction of Hyperbolic Triangles with Prescribed Angles
Journal of Geometry - Tập 93 - Trang 146-163 - 2009
It is well known that in a hyperbolic triangle the sum of angles is less then π, see e.g. [5] where Walter Benz deals extensively with the two-dimensional case. Among others he states there that for given values α, β, γ > 0 with α+β+γ < π there is always a hyperbolic triangle with these angles. In his book [2] Benz describes euclidean and hyperbolic geometry in a unified manner, and furthermore, i......
The configurations 123 revisited
Journal of Geometry - Tập 105 - Trang 391-417 - 2014
As is known, there are 229 symmetric configurations 123, (Daublebsky von Sterneck in Monatshefte Math Phys 5:223–255, 1895; Gropp in J Comb Inf Syst Sci 15:34–48, 1990). We use tactical decompositions by automorphism group (TDA) to study these configurations in detail. In (Daublebsky von Sterneck in Monatshefte Math Phys 14, 254–260, 1903) the automorphism groups of the configurations were determi......
On slant surfaces with constant mean curvature in C2
Journal of Geometry - Tập 59 - Trang 184-201 - 1997
In this paper, we completely classify proper slant surfaces with constant Gaussian curvature and nonzero constant mean curvature in C2.
Ensembles de classe (0, 1, q, q + 1) de PG (d, q)
Journal of Geometry - Tập 15 - Trang 93-98 - 1980
We determine all sets Q of points of any finite dimensional protective space P such that each line intersecting Q in more than one point, either is contained in Q or contains exactly one point not on Q. If P is a finite protective space of order q, these sets are the so called sets of class (0, 1, q, q + 1).
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