Differential Geometry Forum

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Join experts in discussing differential geometry topics. This includes manifolds, Tensors and forms. Connections and curvature also. Differential and algebraic topology discussion.
Graduate Trouble understanding ##g^{jk}\Gamma^{i}{}_{jk}##
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Graduate A general 2-form - Colley Chapter 8, Section 8.1
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Graduate Physical motivation for integrals over scalar field?
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Graduate Simple/Basic Example on Wedge Products
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Graduate What is the mapping between the hyperriemann sphere and the complex plane?
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Undergrad What is the smoothness condition in vector calculus derivatives?
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Graduate More (VERY BASIC) Questions on Example on Wedge Products
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Graduate Covariant and contravariant basis vectors /Euclidean space
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Graduate Non-Euclidean geometry and the equivalence principle
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Graduate Notation in Ch. 10 of Nakahara
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Graduate Is my understanding of the second-rank four-tensor correct?
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Graduate Rotations in differential geometry
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Graduate Compute Translation, Rotation in SE(3) with Chasles Theorem
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Graduate Walk a 3-sphere w/Hopf Fibration: Parameterization
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Graduate Curl of tensor * non-constant vector
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Graduate N-sphere as manifold without embedding
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Graduate Unique smooth structure on Euclidean space
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Graduate Envelope of a parametric family of functions
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Graduate Euler angles in latitude longitude space
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Undergrad Coordinate transformation from spherical to rectangular
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Graduate Troubleshooting N-Spherical Cap Area Formula
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Graduate Intersection of general plane with quadric surface
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MHB What are the practical applications of differential geometry?
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Graduate Non-Euclidean area defined by three points on a sphere
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Graduate Jet Prolongation Formulas for Lie Group Symmetries
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Graduate Spherical vectors and rotation of axes
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Graduate Quadratic Conformal Mapping with Parameters | QP
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Graduate How do I use the geodesic equation for locations on earth
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Graduate Followup: pi on curved surfaces
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Graduate Opposite "sides" of a surface - Differential Geometry.
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Graduate Velocity in spherical polar coordinates
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Graduate Contravariant and covariant vectors
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Graduate A question about differential form
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Graduate Two questions for vector bundles
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Graduate Vector Rotation About Arbitrary Axis
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Graduate The restriction of differential form
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Graduate How to Calculate Gauss Curvature from a Mesh Surface?
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Graduate Why is a conserved vector field a gradient of a certain func
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Graduate Tangent spaces at different points on a manifold
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Graduate How Do Indices Affect Tensor Notation?
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Graduate Calculating Volume of Arbitrary Cross-Section Triangles
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Graduate Differential Geometry page 193 Nakahara
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Graduate Writing a general curve on a manifold given a metric
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Undergrad What is the radius of curvature formula for an ellipse at slope = 1?
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Graduate Why phi component is not taken into account for vector R ?See attachment.
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Graduate Engineering a body with an intrinsic curvature
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Graduate Meaning of Curl from stokes' theorem
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Graduate Understanding Index Notation: Simplifying Tensor and Vector Equations
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Graduate Transverse Vector: Definition & Meaning
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Undergrad Is There a Mistake in the Hyperbolic Paraboloid Curve Demonstration?
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Graduate Are Skew Lines Considered Perpendicular in 3D with Parallel Vectors?
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Graduate Interpreting Curl in Vector Fields: ∇×v
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Graduate Meaning of isomorphism/diffeomorphism ## f: R^n\to M^m##
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Graduate Calculating mixed partial derivatives on a 3D mesh
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Graduate Geometrical meaning of Curl(Gradient(T))=0
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Graduate Coordinate transformation - NED and ECEF frames
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Undergrad Given a vector, how to compute orthogonal plane
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Graduate Finding the sine of the angle between 2 rays
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Graduate Taylor expansion of the square of the distance function
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Graduate Is x^2 + y^2 = 4R^2 a Cylinder or a Circle in 3D Space?
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Graduate Is There a Solution to the Inconvenient Expression for Area and Element of Area?
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Graduate ##x+y## on a Riemannian manifold
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Graduate Geometry on a Sphere: Euclidean or Something Else?
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Graduate Calculate the distance travelled in a moving circumference?
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Graduate Ricci rotation coefficients and non-coordinate bases
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Graduate How Can I Simplify an Equation Involving Levi-Civita Tensors and Indices?
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Graduate Manifolds: extrinsic and intrinsic
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Undergrad 3D object represent with primitive shapes
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Graduate Riemannian Metric Tensor & Christoffel Symbols: Learn on R2
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Graduate Types of Rotations - Hi Everybody, Ask Your Questions Here
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Graduate Lie derivative of tensor field with respect to Lie bracket
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Graduate Curved surfaces that do not preserve area
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Graduate Angle and trig definitions in curved space
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Undergrad Help with David Bachman's A Geometric Approach to Differential Forms, 2nd Ed.
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Graduate Difference between Manifolds and Non-Euclidean spaces
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Graduate Vector fields transverse to the boundary of a manifold
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Graduate Proving K+U is constant with tensor notation.
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Graduate Charting Manifolds: Tips & Techniques
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Graduate Riemannin generalization of the Taylor expansion
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Graduate How to relate the Ehresmann connection to connection 1-form?
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Graduate Lie derivative of two left invariant vector fields
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Graduate Logic behind definition of Reparametrization
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Graduate What are the Discret Subgroups of O(1,3)?
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Graduate Understanding fractional and higher dimensions
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Graduate Why is ##x = r \sin{\phi} \cos{\theta}## in spherical coordinates?
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Graduate Product of a symmetric and antisymmetric tensor
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Graduate Curvature implying Closedness in N dimensions
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Graduate Finding Coefficients of Orthogonal Quadric Equations
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Undergrad Drawing Curves with Conic Sections
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Graduate Calculating the Solid Angle Subtended by a Disc: How to Find ω?
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Graduate How Do Tangents Differ Between y²=4ax and x²=4ay?
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Undergrad What type of coordinate system?
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Graduate Are Global and Local Coordinate Charts Different in Differentiable Manifolds?
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Graduate Why Does (\partial_{\mu}\phi)^2 Equal (\partial_{\mu}\phi)(\partial^{\mu}\phi)?
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Undergrad Center of a irregular hexahedra given the vertices
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Graduate Is This Contraction of a Tensor Allowed?
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Graduate Can someone verify this definition for Weyl tensor?
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Graduate Questions about the differential
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Graduate Tangent vector as derivation question
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Graduate Implicit Function Theorem Generalization
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