Manifolds §

Group: 5 #group-5

Relations §

• Fiber Bundles: Fiber bundles are constructed over base spaces that are manifolds, which are topological spaces that locally resemble Euclidean space.
• Riemannian Geometry: Riemannian Geometry deals with manifolds equipped with a Riemannian metric.
• Topology: Manifolds are topological spaces that locally resemble Euclidean space and are fundamental objects of study in topology.
• Complex Geometry: Manifolds are higher-dimensional generalizations of surfaces, which are essential for studying complex geometric shapes.
• Differential Geometry: Differential geometry studies the geometry of manifolds, which are topological spaces that locally resemble Euclidean space.