Results 1 to 10 of about 266,674 (332)
Topology of geometric joins [PDF]
We consider the geometric join of a family of subsets of the Euclidean space. This is a construction frequently used in the (colorful) Carath\'eodory and Tverberg theorems, and their relatives.
Barany, Imre +2 more
core +7 more sources
Fuzzy space-time topology and geometric quantization [PDF]
Dodson-Zeeman fuzzy topology considered as the possible mathematical framework of geometric quantum formalism. In such approach the states of massive particle m correspond to elements of fuzzy manifold called fuzzy points.
Mayburov S.N.
doaj +3 more sources
Geometry and quantum brachistochrone analysis of multiple entangled spin-1/2 particles under all-range Ising interaction [PDF]
We present a unified geometric and dynamical framework for a physical system consisting of n spin-1/2 particles with all-range Ising interaction. Using the Fubini-Study formalism, we derive the metric tensor of the associated quantum state manifold and ...
B. Amghar +5 more
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Geometric topology of CR-warped products in six-dimensional sphere
In this paper, we prove that a three-dimensional CR-warped product submanifold of a nearly Kaehler six-dimensional sphere, under some restrictions, contains finite fundamental groups.
Noura Alhouiti +4 more
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Geometric topology has seen significant advances in the understanding and application of infinite symmetries and of the principles behind them. On the one hand, for advances in (geometric) group theory, tools from algebraic topology are applied and extended; on the other hand, spectacular results in topology (e.g., the proofs of new cases of the ...
Martin R. Bridson +2 more
+4 more sources
Automatic, Multiview, Coplanar Extraction for CityGML Building Model Texture Mapping
Most 3D CityGML building models in street-view maps (e.g., Google, Baidu) lack texture information, which is generally used to reconstruct real-scene 3D models by photogrammetric techniques, such as unmanned aerial vehicle (UAV) mapping.
Haiqing He +6 more
doaj +1 more source
A fibering theorem for 3-manifolds [PDF]
We generalize a result of Moon on the fibering of certain 3-manifolds over the circle. Our main theorem is the following: Let $M$ be a closed 3-manifold.
Jordan A. Sahattchieve
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Rule-based transformations for geometric modelling [PDF]
The context of this paper is the use of formal methods for topology-based geometric modelling. Topology-based geometric modelling deals with objects of various dimensions and shapes.
Thomas Bellet +2 more
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Topology-Preserving and Geometric Feature-Correction Watermarking of Vector Maps
Digital watermarking is an effective method of vector map copyright protection. However, the topology and geometric features are potentially influenced by the disturbances of vertices caused by watermark embedding, thus reducing the availability of ...
Xu Xi +4 more
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Structure of symmetry group of some composite links and some applications
In this paper, we study the symmetry group of a type of composite topological links, such as 22m#22 . We have done a complete analysis on the elements of the symmetric group of this link and show the structure of the group. The results can be generalized
Yang Liu
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