Abstract
The Gauss—Bonnet theorem in the previous chapter directly implies that the total curvature
of a surface χ does not depend on the choice of a Riemannian metric on χ (it is the same for all metrics).
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© 2001 Springer-Verlag Berlin Heidelberg
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Postnikov, M.M. (2001). Some Special Tensors. In: Geometry VI. Encyclopaedia of Mathematical Sciences, vol 91. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04433-9_17
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DOI: https://doi.org/10.1007/978-3-662-04433-9_17
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