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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 Injective immersion and embedding
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Graduate Bachman : A geometric approach to differential forms
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Graduate Understanding: double of conformally flat manifold is conformally flat
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Graduate Alternative topology of our 3D space
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Graduate How to switch from tensor products to wedge product
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Graduate 3-connection on nontrivial topological 3-manifold
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Graduate What subset of a 3D space can be addressed by a single chart?
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Graduate Differential structure of the group of automorphism of a Lie group
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Graduate What Is the Gauss Embedding Theorem Mentioned in the Video Talk?
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Graduate Tensor/Vector decomposition/representation & DOF arguement
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Graduate Problems with the interpretation of the Torsion tensor and the Lie Bracket
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Graduate A claim about smooth maps between smooth manifolds
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Graduate Calculate a tensor as the sum of gradients and compute a surface integral
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Graduate Hodge operator on 4th rank tensor
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Graduate Newmann-Penrose Spin coefficients for Schwarschild metric
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Graduate In what representation do Dirac adjoint spinors lie?
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Graduate Hodge decomposition of a 1-form on a torus
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Graduate About calculating a fundamental group
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Graduate Infinitesimal Coordinate Transformation and Lie Derivative
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Graduate Finding Minimal Mean Distance Curves on the Unit Sphere
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Graduate About computing the tangent space at 1 of certain lie groups
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Graduate Metric of a Moving 3D Hypersurface along the 4th Dimension
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Graduate Question of Cartan's structure equation (in Principal bundle)
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Graduate Problem in Understanding notation of distributional section
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Graduate Rich "isotropic tensor" concept
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Graduate Differential Forms or Tensors for Theoretical Physics Today
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Graduate What Are the Key Concepts in Tensor Calculus?
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Graduate Roles of supersymmetry in mathematics?
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Graduate Projection of 3D Plane from a certain perspective on the 2D Plane
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Graduate Index Notation of div(a:b) and div(c^transpose d)
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Graduate What Is a Lie Group?
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Graduate Geodesics on three dimensional graph
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Graduate Array variable of envelope function (parameter representation)
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Graduate Hilbert spaces and kets "over" manifolds
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Graduate Differential forms on R^n vs. on manifold
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Graduate On the relationship between Chern number and zeros of a section
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Graduate Lagrangian for straight line in XY-plane (dependent on time)
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Graduate Why are sheafs defined using abelian groups?
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Graduate Something about configuration manifolds in classical mechanics
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Graduate Connection between Reciprocal Space and Cotangent Space
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Graduate On the different ways of determining curvature on manifolds
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Graduate Information Geometry: Is there any there there?
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Graduate Transformation of coordinate basis
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Graduate Natural parametrization of a curve
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Graduate Parallel transport on a symplectic space
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Graduate Exists ? : Invariant geodesic equation
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Graduate Can we always rewrite a Tensor as a differential form?
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Graduate How Can I Differentiate Curves Where the Real Part of \( Y(t) \) Vanishes?
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Graduate What Is a Kahler Manifold?
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Graduate How to understand when surface terms go to zero
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Graduate Are there references and do the converse theorems hold for theorems 1,2?
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Graduate Diffeomorphic manifolds of equal constant curvature
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Graduate Question about the derivation of the tangent vector on a manifold
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Graduate Simple question on the derivative of base frame
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Graduate Geodesics of the 2-sphere in terms of the arc length
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Graduate Pullback of the metric from R3 to S2
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Graduate Differential movement along a curved surface
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Graduate Covariant derivative and connection of a covector field
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Graduate Connection between 1-Forms and Fourier Transform
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Graduate Is the Berry connection a Levi-Civita connection?
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Graduate Why the terms - exterior, closed, exact?
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Graduate I need some fun questions with answers in differential geometry ()
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Graduate Two Covariant Derivatives (Chain Rule)?
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Graduate Book to understand Euler angles (and Tait–Bryan )
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Graduate Can anyone alive derive these quaternion equations?
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Graduate Is the Exponential Map Always Surjective from Lie Algebras to Lie Groups?
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Graduate What is geometric group theory and how does it relate to different geometries?
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Graduate Defining the Tensor Product of Gradients for Different Coordinate Systems
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Graduate Transversality unlocks the secrets of the manifold?
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Graduate Fractional spacetime, dimension equation
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Graduate Equivalence of diffeomorphism definitions
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Graduate Logical foundations of smooth manifolds
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Graduate Second order partial derivatives vanish?
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Graduate Question about covariant derivatives
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Graduate Variational derivative and Euler-Poincare equations
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Graduate What is a differentiable variety?
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Graduate How to calculate the matrix of a form?
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Graduate Pathological example of a Principle Fiber Bundle?
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Graduate Calculating Lie Derivative for Case (ii)
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Graduate Definition of Tensor and.... Cotensor?
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Graduate Lie derivative of vector field defined through integral curv
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Graduate Invariance of Commutator Relations
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Graduate Intrinsic definition on a manifold
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Graduate Fundamental definition of extrinsic curvature
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Graduate Pullback of F on Manifolds: What Matrix Do We Take Determinant Of?
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Graduate Is the Wedge Product of a 0-Form and l-Form Equal to f * η?
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Graduate Differentiability of a function between manifolds
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Graduate How Does the Chain Rule Define the Differential of a Function on a Manifold?
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Graduate How do I pass a magnetic field to any coordinate system?
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Graduate Coefficients in the linear combination of a k-form
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Graduate Defining a Contact Structure Globally -- Obstructions?
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Graduate Hessian as "Square" of Jacobian?
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Graduate The Distance between two points in a hypothetical universe
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Graduate Computing de Rham Cohomology of Connected Sums of Objects
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Graduate Penrose paragraph on Bundle Cross-section?
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Graduate Is Every Smoothly Extendable Submanifold Properly Embedded?
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Graduate Finding the unit Normal to a surface using the metric tensor.
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Graduate Constructing a sequence in a manifold
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Graduate Connection 1-forms to Christoffel symbols
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Graduate Explicit examples of calculations of Chern classes
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