Results 251 to 260 of about 998,625 (264)
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Oberwolfach Reports, 2005
It was the aim of the meeting to bring together international experts from the theory of buildings, differential geometry and geometric group theory. Buildings are combinatorial structures (simplicial complexes) which can be seen as simultaneously generalizing projective spaces and trees.
Bertrand Rémy +3 more
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It was the aim of the meeting to bring together international experts from the theory of buildings, differential geometry and geometric group theory. Buildings are combinatorial structures (simplicial complexes) which can be seen as simultaneously generalizing projective spaces and trees.
Bertrand Rémy +3 more
openaire +3 more sources
The Annals of Mathematics, 1970 The theorema egregium or, in essence, the fundamental theorem of riemannian geometry asserts that curvature is an invariant of the metric. We ask the converse: how far does curvature determine the metric? Important theorems in this direction are the classical theorems for (embedded) surfaces. More recently there is a local theorem of E.
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Douglas Curvature and Weyl Curvature
2001There are two important projective invariants of sprays and Finsler metrics. One is a non-Riemannian projective invariant constructed from the Berwald curvature. The other is a Riemannian projective invariant constructed from the Riemann curvature. In this chapter, we will discuss these two projective invariants.
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, 1997 If you’ve just completed an introductory course on differential geometry, you might be wondering where the geometry went. In most people’s experience, geometry is concerned with properties such as distances, lengths, angles, areas, volumes, and curvature.
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, 2001 In this chapter, we discuss several approaches to the problem of measuring how ‘curved’ a surface is. Although they use quite different methods, we show that each of the approaches leads to the same geometric object: the second fundamental form of a surface.
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S-Curvature, E-Curvature, and Berwald Scalar Curvature of Finsler Spaces
Differential Geometry and its Applications, 2023openaire +1 more source