Differential Geometry (math.DG)
differential geometry
... Let me start with a disclaimer regarding what this text is, and what it is not. This is by no means meant as an introduction to differential geometry that would be self-contained or com- prehensive in any ...
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Differential geometry of self-intersection curves of a parametric surface in R3
... the differential geometry properties of, self-intersection curves of a parametric surface and the intersection curves of two parametric surfaces in R 3 , for transver- sal and tangential ...the ...
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An Introduction to Differential Geometry: The Theory of Surfaces
... and differential geometry, a surface is a manifold of dimension two; this means that a surface is a topological space such that every point has a neighborhood which is homeomorphic to an open subset of the ...
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Discrete Differential Geometry of n Simplices and Protein Structure Analysis
... discrete differential geometry of n-simplices, which is originally developed for pro- tein structure analysis [1] ...Discrete differential geometry is the study of discrete equivalents of the ...
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On the 4-clifford algebra in abstract differential geometry
... studied differential triads as basic notions through which fundamental concepts of abstract differential geometry were ...Clifford differential triads with the help of quadratic ...
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Simulation Topographical Surfaces Geographical and Geological Using Differential Geometry
... using differential geometry can be compared precisely for various geometric similarities and differences as a pre- requisite for kinematic and dynamic ...
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Discrete Differential Geometry of Triangles and Escher Style Trick Art
... Discrete differential geometry studies discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral ...
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A Control Method for SVG Based on Differential Geometry Nonlinear Control
... From the figure, we can found the grid current and the FFT is showed in Figure 3 before the compensation is 43.57% and after the compensation by the differential geometry structure, the content of THD is ...
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Discrete Differential Geometry and the Structural Study of Protein Complexes
... In our model, instead of open chains of amino acids, we consider closed tra- jectories of n -simplices using the discrete differential geometry of n -simplices ( n = 2, 3, ) [16] [17]. Then, interaction ...
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Some Results on the Differential Geometry of Spacelike Curves in De Sitter Space
... the differential geometry of curves on So, we will in- troduce a Frenet frame for the curve and define the geo- desic curvature and geodesic torsion functions which characterize the shape of the ...
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A pictorial introduction to differential geometry, leading to Maxwell's equations as three pictures
... on differential geome- try, many of which use diagrams to illustrate the concepts they are trying to portray, for example ...much differential geom- etry as possible solely by using ...ferential ...
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Axiomatic Differential Geometry III 3 Its Landscape Chapter 3: The Old Kingdom of Differential Geometers
... of differential geometry (the category of smooth manifolds) and its new kingdom (the category of functors on the category of Weil algebras to some smooth ...
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Extraction of thin nets in grey-level images using computational differential geometry
... directly from the first and second derivatives of the image which an interesting aspect of this method. But unfortunately, the quality of the results obtained by this algorithm is not accept- able for various reasons ...
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Cubic Differentials in the Differential Geometry of Surfaces
... local differential geometry of convex affine spheres in R 3 and of minimal Lagrangian surfaces in Hermitian symmetric ...cubic differential holomorphic with re- spect to the induced conformal ...
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Anisotropic Continuum Stored Energy Functional Solved by Lie Group and Differential Geometry
... by differential geometry, to newly define the second invariant component to capture anisotropic transverse effects and shear coupling effects, and to accurately fit anisotropic CSE models with experimental ...
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The differential geometry of almost Hermitian almost contact metric submersions
... For each type, we have here examined: 1 the structure of the base space and the fibres according to that of the total space; 2 the classes of submersions with totally geodesic fibres; 3 th[r] ...
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Linear algebra and differential geometry on abstract Hilbert space
... of functions. In the paper this simple observation is used to construct a fruitful formalism of local coordinates on Hilbert manifolds. Images of charts on manifolds in the formal- ism are allowed to belong to arbitrary ...
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Nonstandard quantum groups: twisting constructions and noncommutative differential geometry
... Now, just as we did for the 4D calculi, we may deduce wedge product commutation relations in the exterior bicovariant graded algebra the Lie brackets and commutators for the quantum Lie [r] ...
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Differential geometry of surfaces and minimal surfaces
... X^, along our"curve"(a line) lying in the surface as depicted in figure 22.. Here, ail these vectors along the line lare the same vector being translated along Iand are all ta[r] ...
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Nonassociative algebras: a framework for differential geometry
... A nonassociative algebra endowed with a Lie bracket, called a torsion algebra, is viewed as an algebraic analog of a manifold with an affine connection. Its elements are interpreted as vector fields and its multiplication ...
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