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.
A About computing the tangent space at 1 of certain lie groups
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A Problems with the interpretation of the Torsion tensor and the Lie Bracket
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A A claim about smooth maps between smooth manifolds
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A Metric of a Moving 3D Hypersurface along the 4th Dimension
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A Question of Cartan's structure equation (in Principal bundle)
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A Problem in Understanding notation of distributional section
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A Differential Forms or Tensors for Theoretical Physics Today
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A Questions on tensor calculus
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A Roles of supersymmetry in mathematics?
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A Projection of 3D Plane from a certain perspective on the 2D Plane
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A Simple definition of Lie group
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A Geodesics on three dimensional graph
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A Representing flux tubes as a pair of level surfaces in R^3
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A Hilbert spaces and kets "over" manifolds
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A Differential forms on R^n vs. on manifold
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A On the relationship between Chern number and zeros of a section
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A Lagrangian for straight line in XY-plane (dependent on time)
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A Why are sheafs defined using abelian groups?
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A Something about configuration manifolds in classical mechanics
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A Connection between Reciprocal Space and Cotangent Space
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A On the different ways of determining curvature on manifolds
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A Information Geometry: Is there any there there?
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A Transformation of coordinate basis
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A Natural parametrization of a curve
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A Invariance of ##SO(3)## Lie group when expressed via Euler angles
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A Parallel transport on a symplectic space
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A Exists ? : Invariant geodesic equation
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A Can we always rewrite a Tensor as a differential form?
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A Implicitly differentiating the vanishing real part of the hyperbolic tangent of one plus the square of the Hardy Z function
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A Kahler Manifold
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A Connections and distributions
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A Diffeomorphic manifolds of equal constant curvature
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A Question about the derivation of the tangent vector on a manifold
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A Simple question on the derivative of base frame
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A Geodesics of the 2-sphere in terms of the arc length
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A Pullback of the metric from R3 to S2
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A Differential movement along a curved surface
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A Covariant derivative and connection of a covector field
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A Connection between 1-Forms and Fourier Transform
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A Is the Berry connection a Levi-Civita connection?
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A Why the terms - exterior, closed, exact?
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A I need some fun questions with answers in differential geometry ()
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A Two Covariant Derivatives (Chain Rule)?
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A High Dimensional Geometry of Brain Representations
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A Can anyone alive derive these quaternion equations?
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A Lie Algebra and Lie Group
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A Tensor product of gradients
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A Transversality unlocks the secrets of the manifold?
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A Fractional spacetime, dimension equation
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A Equivalence of diffeomorphism definitions
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A Logical foundations of smooth manifolds
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A Second order partial derivatives vanish?
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A Question about covariant derivatives
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A Variational derivative of mean curvature
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A Variational derivative and Euler-Poincare equations
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A What is a differentiable variety?
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A How to calculate the matrix of a form?
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A Visualize the Hamiltonian
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A Pathological example of a Principle Fiber Bundle?
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A Graphing Lie Derivative
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A Definition of Tensor and.... Cotensor?
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A Lie derivative of vector field defined through integral curv
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A Invariance of Commutator Relations
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A Intrinsic definition on a manifold
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A Fundamental definition of extrinsic curvature
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A Pullback on a manifold
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A Wedge product
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A Differentiability of a function between manifolds
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A Differential of a function
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A How do I pass a magnetic field to any coordinate system?
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A Coefficients in the linear combination of a k-form
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A Defining a Contact Structure Globally -- Obstructions?
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A Hessian as "Square" of Jacobian?
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A The Distance between two points in a hypothetical universe
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A Calculus of cohomology
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A Penrose paragraph on Bundle Cross-section?
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A Possible Error in Vladimir Arnold Mathematical Methods C
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A First Variation of Jacobi Operator
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A Properly embedded submanifold
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A Normal to coordinate curve
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A Constructing a sequence in a manifold
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A Connection 1-forms to Christoffel symbols
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A Explicit examples of calculations of Chern classes
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A Family of curves tangent to a smooth distribution of lines
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A [Diff Forms & Skyrmions] What is this called?
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A Coordinate representation of a diffeomorphism
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A How to calculate the second fundamental form of a submanifold?
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A Smoothness of multivariable function
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A Smooth extension on manifolds
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A Question About Elementary Fiber Bundle Example
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A Exterior forms in wiki page
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A Pushforward of Smooth Vector Fields
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A Characterizing the adjoint representation
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A Tangent and Cotangent Bases
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A Diagonalization of adjoint representation of a Lie Group
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A Is tangent bundle TM the product manifold of M and T_pM?
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A On the dependence of the curvature tensor on the metric
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A Can you give an example of a non-Levi Civita connection?
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A Can I change topology of the physical system smoothly?
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A Integration along a loop in the base space of U(1) bundles
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Differential Geometry

Join experts in discussing differential geometry topics. This includes manifolds, Tensors and forms. Connections and curvature also.

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