Lecture Notes Riemannian Geometry By Andreas Strombergsson
Lecture Notes Riemannian Geometry By Andreas Strombergsson
Lecture Notes Riemannian Geometry By Andreas Strombergsson
This note explains the following topics: Manifolds, Tangent
spaces and the tangent bundle, Riemannian manifolds, Geodesics, The
fundamental group. The theorem of Seifert-van Kampen, Vector bundles, The
Yang-Mills functional, Curvature of Riemannian manifolds, Jacobi Fields,
Conjugate points.
This PDF
covers the following topics related to Riemannian Geometry : Introduction,
Riemannian Metric, Geodesics, Connections, Curvatures, Space forms and Jacobi
fields, Comparison Theorem, Candidates for Synthetic Curvature Conditions.
Author(s): Shiping Liu, Department of Mathematics, USTC
This note explains the following topics: Manifolds, Tangent
spaces and the tangent bundle, Riemannian manifolds, Geodesics, The
fundamental group. The theorem of Seifert-van Kampen, Vector bundles, The
Yang-Mills functional, Curvature of Riemannian manifolds, Jacobi Fields,
Conjugate points.
This note covers the following
topics: What is a manifold, Analysis on Riemannian manifolds, Geodesics and
curvature, The Bishop volume comparison theorem.
This is an
introductory lecture note on the geometry of complex manifolds. Topics discussed
are: almost complex structures and complex structures on a
Riemannian manifold, symplectic manifolds, Kahler manifolds and Calabi-Yau
manifolds,hyperkahler geometries.
This note covers the following topics: Smooth Manifolds ,
Tangent Spaces, Affine Connections on Smooth Manifolds, Riemannian
Manifolds, Geometry of Surfaces in R3, Geodesics in Riemannian
Manifolds, Complete Riemannian Manifolds and Jacobi Fields.
This note covers the following topics: Differentiable Manifolds, The
Tangent Space, The Tangent Bundle, Riemannian Manifolds, The Levi-Civita
Connection, Geodesics, The Riemann Curvature Tensor, Curvature and Local
Geometry.