query: Connection and curvature using differential forms
positive_passages.docid: 34312
positive_passages.text: Mathematically-oriented Treatment of General Relativity
negative_passages.docid: 154009
negative_passages.text: Closed, simply connected manifolds which are not spheres
negative_passages.docid: 20117
negative_passages.text: Mean curvature in asymptotic directions
negative_passages.docid: 105488
negative_passages.text: Finding the curvature and normal vector for an arclength curve
negative_passages.docid: 33691
negative_passages.text: Confusion about a particular differential form being exact?
negative_passages.docid: 66494
negative_passages.text: Curvature of a curve on a sphere
negative_passages.docid: 101418
negative_passages.text: Can we define flat connection on any given smooth manifold?
negative_passages.docid: 106050
negative_passages.text: Finding a conformal map from the intersection of two disks to the unit disk.
negative_passages.docid: 152062
negative_passages.text: Find a function that makes this differential form exact
negative_passages.docid: 144548
negative_passages.text: topological structure on smooth manifolds
negative_passages.docid: 76428
negative_passages.text: Exercise $2.1.1$ - Differential Topology by Guillemin and Pollack
negative_passages.docid: 69798
negative_passages.text: Intersecting geodesics in a positive curvature manifold
negative_passages.docid: 54391
negative_passages.text: Deriving curvature formula
negative_passages.docid: 35069
negative_passages.text: Connectedness of the boundary
negative_passages.docid: 122352
negative_passages.text: Topologies in a Riemannian Manifold
negative_passages.docid: 69389
negative_passages.text: Gauge fields and strings: Loop equations
negative_passages.docid: 129986
negative_passages.text: Differential Geometry-Wedge product