Include the modules listed below and/or in the Course Catalogue (which can also be filtered by language of delivery via Advanced Search).īooklet entry mode: if the teaching is included among those listed below, the student can enter it independently during the period in which the curriculum is open otherwise, the student must make a request to the Secretariat, sending the form to during the period indicated. Modules taught at the University of Verona According to the Teaching Regulations of the Course, some activities can be chosen and entered independently in the booklet, others must be approved by a special committee to verify their consistency with the study plan. Type D or F learning activities can be covered by the following activities. Type D learning activities are the student's choice, type F activities are additional knowledge useful for job placement (internships, transversal skills, project works, etc.). The metric tensor, the Riemannian connection and curvature of a Riemannian manifold. Introduction to de Rham theory.Ĭovariant derivative, torsion and curvature. Differential forms, the exterior derivative, interior product and Lie derivative. Lie derivative of a tensor field.Įxterior algebra, determinants, volumes and star Hodge operator. Tensor product of vector spaces, and tensor algebra. Theory of ordinary differential equations. Green's theorem, divergence theorem and Stokes' Theorem. Vector fields on Rn and differential forms. Prerequisites and basic notionsĬalculus in several variables. He/she will be able to produce rigorous arguments and proofs on these topics and he/she will be able to read articles and texts of Differential Geometry. At the end of the course the student will know the main terminology and definitions about manifolds and Riemannian manifolds, and some of the main results. The course aims to provide students with the basic concepts on Differential Geometry of manifolds.
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