Browsing by Author "Leitner, Felipe"

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    Applications of Cartan and tractor calculus to conformal and CR-geometry
    (2007) Leitner, Felipe; Kühnel, Wolfgang (Prof.)
    The main object of this Habilitationsschrift is the geometric study of solutions of overdetermined conformally invariant differential equations via the use of Cartan and tractor calculus. This study fits into the broader research field of conformal and parabolic invariant theory. Parts of our investigations take special attention to conformal Lorentzian and spin geometry, which provides a link to the theories of modern physics. The present text originated from a collection of research articles and other works of the author, which emerged since the year 2003. In order to make the text basically self contained with uniform notations and conventions I decided to prefix an extended introductory chapter. An English and German summary are included as well.