Results 1 to 10 of about 2,943,974 (387)
On the geometry and the topology of parametric curves [PDF]
Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation, 2020 We consider the problem of computing the topology and describing the geometry of a parametric curve in Rn. We present an algorithm, PTOPO, that constructs an abstract graph that is isotopic to the curve in the embedding space.
Christina Katsamaki +3 more
semanticscholar +5 more sources
Splines in geometry and topology [PDF]
Computer Aided Geometric Design, 2016 This survey paper describes the role of splines in geometry and topology, emphasizing both similarities and differences from the classical treatment of splines. The exposition is non-technical and contains many examples, with references to more thorough treatments of the subject.
Alfeld +34 more
openaire +6 more sources
Bounded geometry, growth and topology [PDF]
Journal de Mathématiques Pures et Appliquées, 2011 15 ...
Grimaldi, Renata, Pansu, Pierre
openaire +6 more sources
Stringy Geometry and Topology of Orbifolds [PDF]
arXiv, 2000 This is a survey article on the recent development of "stringy geometry and topology of orbifolds", a new subject of mathematics motivated by orbifold string theory.
Yongbin Ruan
arxiv +3 more sources
Lagrangian topology and enumerative geometry [PDF]
Geometry & Topology, 2012 We use the "pearl" machinery in our previous work to study certain enumerative invariants associated to monotone Lagrangian submanifolds.
Biran, Paul, Cornea, Octav
openaire +6 more sources
Stochastic geometry and topology of non-Gaussian fields. [PDF]
Proc Natl Acad Sci U S A, 2012 Gaussian random fields pervade all areas of science. However, it is often the departures from Gaussianity that carry the crucial signature of the nonlinear mechanisms at the heart of diverse phenomena, ranging from structure formation in condensed matter
Beuman TH, Turner AM, Vitelli V.
europepmc +3 more sources
Topology and geometry of the CfA2 redshift survey [PDF]
, 2000 We analyse the redshift space topology and geometry of the nearby Universe by computing the Minkowski functionals of the Updated Zwicky Catalogue (UZC).
Jens Schmalzing, Antonaldo Diaferio
openalex +5 more sources
Geometry without topology as a new conception of geometry [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 A geometric conception is a method of a geometry construction. The Riemannian geometric conception and a new T‐geometric one are considered. T‐geometry is built only on the basis of information included in the metric (distance between two points). Such geometric concepts as dimension, manifold, metric tensor, curve are fundamental in the Riemannian ...
Yuri A. Rylov
+9 more sources
Geometry and topology of complex hyperbolic and CR-manifolds [PDF]
, 1997 We study geometry, topology and deformation spaces of noncompact complex hyperbolic manifolds (geometrically finite, with variable negative curvature), whose properties make them surprisingly different from real hyperbolic manifolds with constant negative curvature.
Apanasov, Boris
arxiv +4 more sources
Geometry and Topology of some overdetermined elliptic problems [PDF]
, 2012 We study necessary conditions on the geometry and the topology of domains in $\mathbb{R}^2$ that support a positive solution to a classical overdetermined elliptic problem. The ideas and tools we use come from constant mean curvature surface theory.
A. Ros, P. Sicbaldi
semanticscholar +5 more sources