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Titlebook: Aspects of Differential Geometry II; Peter Gilkey,JeongHyeong Park,Ramón Vázquez-Lorenz Book 2015 Springer Nature Switzerland AG 2015

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Atlas of Atomic Absorption Spectral Linesof curves and surfaces in Euclidean space that arise as solutions to an ordinary differential equation (ODE); this involves a nice application of the Gauss-Bonnet Theorem that is typical in the subject. In Section 4.2, we relate the scalar curvature to the growth of the volume of geodesic balls. In
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Rafael M. Trommer,Carlos P. Bergmannesenting some standard results in homological algebra that we used to complete the proof of Theorem 5.2 by establishing the Mayer-Vietoris sequence in de Rham cohomology and by showing that de Rham cohomology is a homotopy functor. In Section 8.2, we discuss simplicial theory. In Section 8.3, we dis
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Aspects of Differential Geometry II978-3-031-02408-5Series ISSN 1938-1743 Series E-ISSN 1938-1751
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978-3-031-01280-8Springer Nature Switzerland AG 2015
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https://doi.org/10.1007/978-1-4684-6084-1In Chapter 6, we discuss Lie groups; the Norwegian mathematician Marius Sophus Lie introduced many of the basic concepts in this area.
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