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Integral geometry of complex space forms
Integral geometry complex space forms Differential Geometry
2012/4/18
Using the language of Alesker's theory of valuations on manifolds, a thorough account of the integral geometry of the complex space forms is given. The local kinematic formulas on complex space forms ...
Classical integral geometry takes place in Rn equipped with the Euclidean metric. We begin to develop integral geometry for Rn equipped with the taxicab metric (induced by the 1-norm).
On Explicit Holmes-Thompson Area Formula in Integral Geometry
Minkowski space Holmes-Thompson Volume symplectic structure
2010/12/13
In this article, we give an exposition on the Holmes-Thompson theory developed by Alvarez. The space of geodesics in Minkowski space has a symplectic structure which is induced by the projection from ...