Mesh-based interpolation on 2-manifolds.
Scully, Kevin (2005)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Scully, Kevin (2005)
International Journal of Mathematics and Mathematical Sciences
Similarity:
M. A. Magid (2004)
Annales Polonici Mathematici
Similarity:
Lorentzian surfaces in Lorentz three-space are studied using an indefinite version of the quaternions. A classification theorem for Bonnet pairs in Lorentz three-space is obtained.
Burton, Benjamin A. (2004)
Experimental Mathematics
Similarity:
Maher, Joseph (2005)
Geometry & Topology
Similarity:
Udo Simon, Konrad Voss, Luc Vrancken, Martin Wiehe (2002)
Banach Center Publications
Similarity:
We investigate pairs of surfaces in Euclidean 3-space with the same Weingarten operator in case that one surface is given as surface of revolution. Our local and global results complement global results on ovaloids of revolution from S-V-W-W.
R. E. Barnhill (1992)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Similarity:
Atsuhiro Nakamoto, Seiya Negami, Kyoji Ohba, Yusuke Suzuki (2016)
Discussiones Mathematicae Graph Theory
Similarity:
The looseness of a triangulation G on a closed surface F2, denoted by ξ (G), is defined as the minimum number k such that for any surjection c : V (G) → {1, 2, . . . , k + 3}, there is a face uvw of G with c(u), c(v) and c(w) all distinct. We shall bound ξ (G) for triangulations G on closed surfaces by the independence number of G denoted by α(G). In particular, for a triangulation G on the sphere, we have [...] and this bound is sharp. For a triangulation G on a non-spherical surface...
Li, Tao (2002)
Geometry & Topology
Similarity:
M. P. Dussan, M. Magid (2010)
Annales Polonici Mathematici
Similarity:
We characterize the Christoffel pairs of timelike isothermic surfaces in the four-dimensional split-quaternions. When restricting the receiving space to the three-dimensional imaginary split-quaternions, we establish an equivalent condition for a timelike surface in ℝ³₂ to be real or complex isothermic in terms of the existence of integrating factors.
Georgi Ganchev, Vesselka Mihova (2013)
Open Mathematics
Similarity:
On any space-like Weingarten surface in the three-dimensional Minkowski space we introduce locally natural principal parameters and prove that such a surface is determined uniquely up to motion by a special invariant function, which satisfies a natural non-linear partial differential equation. This result can be interpreted as a solution to the Lund-Regge reduction problem for space-like Weingarten surfaces in Minkowski space. We apply this theory to linear fractional space-like Weingarten...
Marian Munteanu, Ana Nistor (2011)
Open Mathematics
Similarity:
In the present paper we classify all surfaces in 3 with a canonical principal direction. Examples of this type of surfaces are constructed. We prove that the only minimal surface with a canonical principal direction in the Euclidean space 3 is the catenoid.
Eudave-Muñoz, Mario, Shor, Jeremy (2001)
Algebraic & Geometric Topology
Similarity:
Petrunin, Anton (1999)
Electronic Research Announcements of the American Mathematical Society [electronic only]
Similarity:
Krushkal, Vyacheslav S. (2000)
Geometry & Topology
Similarity: