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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 Preparing for STEP: Solving a Sphere Tangency Problem
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Graduate Volume using pseudo-spherical coordinates
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Graduate Geometry of perspective: apparent projected distance
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Graduate Scale factors and the Jacobian Matrix
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Graduate What is the Intuition Behind Unicursal Curves and Their Double Points?
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Graduate Why Does the Radius in Parabolic Coordinates Involve √(εη)?
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Graduate Non-Convex Coordinate Transform Problem Rotating Frame
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Graduate What Is a Lune on a Sphere and Its Key Properties?
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Graduate Definition of Lie Group and its Algebras
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Graduate Defining the Tensor Product of Gradients for Different Coordinate Systems
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Graduate What is a covariant derivative
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Graduate What are the key differences between 1-forms and 2-forms in vector spaces?
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Graduate What is the Generalized Stokes' Theorem and its Applications?
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Graduate What is a Tensor: FAQ Definition/Summary
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Graduate Transversality unlocks the secrets of the manifold?
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Graduate Mixed intrinsic and extrinsic angles in 3D rotations
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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 Is there any tensor that gives the radius of a sphere?
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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 Possible Error in Vladimir Arnold Mathematical Methods C
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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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Graduate Family of curves tangent to a smooth distribution of lines
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Graduate [Diff Forms & Skyrmions] What is this called?
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Graduate Coordinate representation of a diffeomorphism
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Graduate Smoothness of multivariable function
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Graduate Can Smooth Functions be Extended on Manifolds?
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Graduate Question About Elementary Fiber Bundle Example
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Graduate What Is the Purpose of Exterior Forms in Differential Geometry?
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Graduate Pushforward of Smooth Vector Fields
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Graduate Characterizing the adjoint representation
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Graduate How do dual vectors and tangent bases relate in coordinate functions?
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Graduate Diagonalization of adjoint representation of a Lie Group
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Graduate Is tangent bundle TM the product manifold of M and T_pM?
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Graduate On the dependence of the curvature tensor on the metric
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Graduate Can you give an example of a non-Levi Civita connection?
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Graduate Can I change topology of the physical system smoothly?
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Graduate Integration along a loop in the base space of U(1) bundles
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Graduate Which Mathematicians are focused on Hodge Conjecture?
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Graduate Product of 3rd rank tensor with squared vector
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Graduate Can I find a smooth vector field on the patches of a torus?
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Graduate Find a circle inside of and tangent to a larger circle
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Graduate What's the Proper Way to Push Forward a Vector Field in Differential Geometry?
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Graduate Proving the Differential Map (Pushforward) is Well-Defined
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Graduate Need (or not) for invoking axiom of choice in a certain case
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Graduate Covariant derivative only for tensor
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Graduate Compact Lie Group: Proof of Discrete Center & Finite Size?
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Graduate Christoffel symbols expansion for second derivatives
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Graduate Split the differential and differential forms
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Graduate Understanding Metric Tensor Calculations for Different Coordinate Systems
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Graduate Understanding the Dual Basis and Its Directions
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Graduate Examples of application of transversality of submanifolds
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Graduate Intution behind the definition of extrinsic curvature
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Graduate Why Does Frankel Prefer Components on the Right in The Geometry of Physics?
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Graduate Streamlines from strain rate tensor
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Graduate Is Your Graph Homeomorphic to a Sphere?
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Graduate LeviCivita in Orthogonal Curvilinear Coordinate System: "Cross Product Matrix
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Graduate Curvature of Flat Lorentz manifolds
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Graduate About Chern number of U(1) principal bundle on a torus
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Graduate Stokes' Theorem and Curvature on a Torus
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Graduate Extracting Tensor Algebra Term with SU(N) Generators and Numbers
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Graduate Is there a natural paring between homology and cohomology?
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Graduate Can the Frenet Serret Frame Aid in Arc Length Parameterizations?
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Graduate Is the Gradient a Covector and the Cross Product a Pseudovector?
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Graduate Diffeomorphisms & the Lie derivative
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Graduate About the nodal line in defining Euler angles
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Graduate Pullback and Pushforward in Manifolds: Why Do We Do It?
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Graduate Conformal flatness of Riemannian manifolds
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Graduate Tangent Bundle: Why It's Important
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Graduate Methods to interpolate surfaces from gradient field?
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Graduate Principal bundle triviality, groups and connections
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Graduate Very basic question about cohomology.
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Graduate Understanding Exact vs. Closed Forms for Mechanical Engineers
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