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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.
Undergrad Differential Geometry: Comparing Metric Tensors
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High School Question about Mercator's projection
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High School What Does the Scalar R Represent in Tensor Mapping on a Smooth Manifold?
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High School What makes pressure a tensor quantity?
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Undergrad Computing the Directional Derivative ....
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MHB What is the Surface Area of a Square with Given Points and Side Lengths?
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Undergrad Deriving the area of a spherical triangle from the metric
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Graduate Covariant derivative and connection of a covector field
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Undergrad How Do Lie Derivatives Connect to Symmetry and Conservation Laws in Physics?
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Undergrad Geodesics subject to a restriction
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Undergrad The vanishing of the covariant derivative of the metric tensor
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Undergrad What is the formula for plotting an accelerating involute curve?
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Undergrad Equivalent paths to the Christoffel symbols
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High School In higher dimensions, are there more than just rotations and displacements?
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Undergrad Curve Inside a Sphere: Differentiating Alpha
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Undergrad Christoffel symbols and covariant derivative intuition
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Graduate Connection between 1-Forms and Fourier Transform
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High School How to know if a Euclidean space is not a 3-sphere?
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Undergrad Defining a Point on a Manifold: Intrinsic vs Embedded Space
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Undergrad Is a Full-Cone in E^3 a Topological Manifold?
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Undergrad Invariant properties of metric tensor
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Undergrad "Adding" a Vector Space and its Dual
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Graduate Is the Berry connection a Levi-Civita connection?
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Undergrad Question about geodesics on a sphere
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Undergrad Circumference of a circle on a spherical surface
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Undergrad Using the derivative of a tangent vector to define a geodesic
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Undergrad Aristotle's Absolute Space & Time: Explained
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Undergrad Understanding the definition of derivative
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Undergrad What is the Purpose of Calculating the Christoffel Symbols in Curved Spacetime?
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Undergrad Vector valued integrals in the theory of differential forms
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Undergrad Can the area be understood as the "number of points"?
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Graduate Why the terms - exterior, closed, exact?
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Undergrad Question about a partial derivative
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Graduate I need some fun questions with answers in differential geometry ()
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Undergrad Trying to construct a particular manifold locally using a metric
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Undergrad Derivative of the Ad map on a Lie group
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Undergrad Understanding vector differential
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Graduate Two Covariant Derivatives (Chain Rule)?
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Undergrad Geodesics under coordinate transformation
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Graduate Book to understand Euler angles (and Tait–Bryan )
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Graduate Correct differentiation identity? (tensors, vectors)
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Graduate Rotating Surfaces: Simplifying Sketching with Normalized Equations
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Graduate Kinematics of surface integrals question
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Graduate Looking for a coordinate system
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Graduate Uniform distribution on a toroidal surface
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Graduate Partial and Covariant derivatives in invarint actions
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Undergrad About the definition of a Manifold
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Graduate Div and curl operators in a left-handed coordinate system?
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Undergrad Larger assignment on Vector Fields
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Graduate Can anyone alive derive these quaternion equations?
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Undergrad Difference (if any) between E^1 x E^3 and E^4
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Graduate Is the Exponential Map Always Surjective from Lie Algebras to Lie Groups?
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Undergrad Transforming Vector Fields between Cylindrical Coordinates
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Graduate Normal derivative in spheroidal coordinate
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Graduate Geodesics on R^2: Exact Formula?
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Undergrad Diffeomorphism invariance and contracted Bianchi identity
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Graduate Can Manifold Angle Determine Concavity and Convexity of a Curve?
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Graduate Cylindrical polar co-ordinates
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Graduate Linear Programming Constraints
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Graduate What is geometric group theory and how does it relate to different geometries?
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Undergrad Why are scalars and dual vectors 0- and 1-forms?
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Undergrad Bases for Tangent Spaces and Subspaces - McInerney Theorem 3.3.14
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Graduate Geometric Understanding of Octopole Moment Beyond Quadropole
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Graduate How to predict the shape of the circle from any point of view?
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Graduate Computing Curvature: 2D Plane & Axi-Symmetric Surfaces
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Graduate 4 dimensional curl as antisymmetric matrix
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Undergrad Algorithm to determine the roulette curve
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Graduate How can I find the normals of a Dodecahedron in rational numbers?
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Undergrad Bezier curves, tangent angles, and arc length
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Graduate How can we simplify calculating geodesic distances on a deformed Earth?
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Graduate Minimal Surfaces, Differential Geometry, and Partial Differential Equations
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Undergrad 3d rotation of accelerometer vectors
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Graduate Finding the Equation of a Rotated Cone
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Graduate Exploring the Power of Geometric Calculus: Differential Forms in Physics
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Graduate Preparing for STEP: Solving a Sphere Tangency Problem
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Graduate Volume using pseudo-spherical coordinates
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Undergrad Mapping Euler spiral (clothoid) parameters
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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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Undergrad Parameterized surfaces from coordinates
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Undergrad How is rotation related to the curl of a vector field?
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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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Undergrad Definition of Displacement: Change in Position
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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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Undergrad Proving that an action is transitive in the orbits
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Graduate Fractional spacetime, dimension equation
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Undergrad Uncovering the Derivative of a Tensor: Understanding its Equations and Origins
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Undergrad What's the difference between graph, locus & manifold?
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Undergrad Proving radial properties of particular dimensionless surface plots?
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Graduate Equivalence of diffeomorphism definitions
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