Join experts in discussing differential geometry topics. This includes manifolds, Tensors and forms. Connections and curvature also. Differential and algebraic topology discussion.
Threads
Graduate Differential movement along a curved surface
- kairama15
- · Replies 3 ·
Undergrad Question on tangent space and jet spaces
- mnb96
- · Replies 4 ·
High School Dilating or expanding a closed ball in Riemannian geometry
- johnconner
- · Replies 7 ·
Undergrad Can different metric tensors from different manifolds appear in one equation?
- dsaun777
- · Replies 37 ·
High School Is Mercator's projection conformal with equal scaling coefficients?
- jk22
- · Replies 1 ·
High School What Does the Scalar R Represent in Tensor Mapping on a Smooth Manifold?
- sqljunkey
- · Replies 22 ·
High School Why is pressure a tensor quantity?
- vtheone
- · Replies 7 ·
Undergrad Directional derivative of f(x)=x in Fortney 2.4(a)(i)
- Math Amateur
- · Replies 2 ·
What is the Surface Area of a Square with Given Points and Side Lengths?
- ghostfirefox
- · Replies 1 ·
Undergrad Deriving the area of a spherical triangle from the metric
- Arman777
- · Replies 19 ·
Graduate Covariant derivative and connection of a covector field
- Vyrkk
- · Replies 8 ·
Undergrad How Do Lie Derivatives Connect to Symmetry and Conservation Laws in Physics?
- pcr
- · Replies 2 ·
Undergrad Geodesics subject to a restriction
- MrTictac
- · Replies 2 ·
Undergrad The vanishing of the covariant derivative of the metric tensor
- snoopies622
- · Replies 37 ·
Undergrad What is the formula for plotting an accelerating involute curve?
- homerwho
- · Replies 5 ·
Undergrad Equivalent paths to the Christoffel symbols
- snoopies622
- · Replies 9 ·
High School In higher dimensions, are there more than just rotations and displacements?
- Hiero
- · Replies 13 ·
Undergrad Curve Inside a Sphere: Differentiating Alpha
- Celso
- · Replies 1 ·
Undergrad Christoffel symbols and covariant derivative intuition
- physlosopher
- · Replies 15 ·
Graduate 1-forms as level sets of Fourier phase in 3-D
- Phinrich
- · Replies 3 ·
High School How to know if a Euclidean space is not a 3-sphere?
- jk22
- · Replies 35 ·
Undergrad How to define a point on an embedded manifold intrinsically or using coordinates
- dsaun777
- · Replies 6 ·
Undergrad Is a Full-Cone in E^3 a Topological Manifold?
- cianfa72
- · Replies 7 ·
Undergrad Invariant properties of metric tensor
- olgerm
- · Replies 12 ·
Undergrad "Adding" a Vector Space and its Dual
- Phinrich
- · Replies 16 ·
Graduate Is the Berry connection a Levi-Civita connection?
- Joker93
- · Replies 5 ·
Undergrad Geodesic equation for great circles on a sphere
- George Keeling
- · Replies 4 ·
Undergrad Circumference of a circle on a spherical surface
- physlosopher
- · Replies 7 ·
Undergrad Using the derivative of a tangent vector to define a geodesic
- physlosopher
- · Replies 7 ·
Undergrad Why can't Galilean spacetime be represented as ordered pairs?
- Thytanium
- · Replies 6 ·
Undergrad Why component-wise differentiation of vector fields lacks coordinate independence
- lriuui0x0
- · Replies 1 ·
Undergrad What is the Purpose of Calculating the Christoffel Symbols in Curved Spacetime?
- dsaun777
- · Replies 11 ·
Undergrad Vector valued integrals in the theory of differential forms
- Hiero
- · Replies 4 ·
Undergrad Can the area be understood as the "number of points"?
- jordi
- · Replies 27 ·
Graduate Why the terms - exterior, closed, exact?
- observer1
- · Replies 6 ·
Undergrad Partial derivative of sin²φ with respect to θ on a sphere
- George Keeling
- · Replies 7 ·
Graduate I need some fun questions with answers in differential geometry ()
- Brian_Dehority
- · Replies 3 ·
Undergrad Trying to construct a particular manifold locally using a metric
- dsaun777
- · Replies 9 ·
Undergrad Derivative of the Ad map on a Lie group
- eipiplusone
- · Replies 3 ·
Undergrad Understanding vector differential
- lriuui0x0
- · Replies 11 ·
Graduate Two Covariant Derivatives (Chain Rule)?
- berlinspeed
- · Replies 7 ·
Undergrad Geodesics under coordinate transformation
- VladZH
- · Replies 23 ·
Graduate Book to understand Euler angles (and Tait–Bryan )
- Avatrin
- · Replies 1 ·
Graduate Correct differentiation identity? (tensors, vectors)
- Waldheri
- · Replies 1 ·
Graduate Rotating Surfaces: Simplifying Sketching with Normalized Equations
- SprucerMoose
- · Replies 1 ·
Graduate Kinematics of surface integrals question
- skybobster
- · Replies 1 ·
Graduate Looking for a coordinate system
- coolnessitself
- · Replies 1 ·
Graduate Uniform distribution on a toroidal surface
- Barnak
- · Replies 1 ·
Graduate Partial and Covariant derivatives in invarint actions
- AlphaNumeric
- · Replies 1 ·
Undergrad About the definition of a Manifold
- cianfa72
- · Replies 20 ·
Graduate Div and curl operators in a left-handed coordinate system?
- Aidyan
- · Replies 1 ·
Undergrad Tensor notation for vector products and differential operators
- MarkBrezina
- · Replies 3 ·
Graduate Deriving quaternion equations from Hamilton's Lectures section 563
- Ben2
- · Replies 3 ·
Undergrad Difference (if any) between E^1 x E^3 and E^4
- cianfa72
- · Replies 14 ·
Graduate Is the Exponential Map Always Surjective from Lie Algebras to Lie Groups?
- giulio_hep
- · Replies 8 ·
Undergrad Transforming Vector Fields between Cylindrical Coordinates
- Luke Tan
- · Replies 1 ·
Graduate Normal derivative in spheroidal coordinate
- dexturelab
- · Replies 1 ·
Graduate Geodesics on R^2: Exact Formula?
- Statis
- · Replies 1 ·
Undergrad Diffeomorphism invariance and contracted Bianchi identity
- "Don't panic!"
- · Replies 7 ·
Graduate Can Manifold Angle Determine Concavity and Convexity of a Curve?
- sniper
- · Replies 1 ·
Graduate Cylindrical polar co-ordinates
- Nylex
- · Replies 1 ·
Graduate Linear Programming Constraints
- Kreizhn
- · Replies 1 ·
Graduate What is geometric group theory and how does it relate to different geometries?
- diegzumillo
- · Replies 12 ·
Undergrad Why are scalars and dual vectors 0- and 1-forms?
- George Keeling
- · Replies 4 ·
Undergrad Bases for Tangent Spaces and Subspaces - McInerney Theorem 3.3.14
- Math Amateur
- · Replies 4 ·
Graduate Geometric Understanding of Octopole Moment Beyond Quadropole
- shdrums9
- · Replies 1 ·
Graduate How to predict the shape of the circle from any point of view?
- OFF_Smog
- · Replies 1 ·
Graduate Deriving curvature formulas for plane curves and axisymmetric surfaces
- rsq_a
- · Replies 1 ·
Graduate 4 dimensional curl as antisymmetric matrix
- purplegreen
- · Replies 1 ·
Undergrad Algorithm to determine the roulette curve
- LAP3141
- · Replies 1 ·
Graduate How can I find the normals of a Dodecahedron in rational numbers?
- TheDestroyer
- · Replies 1 ·
Undergrad Bezier curves, tangent angles, and arc length
- ZippyDee
- · Replies 2 ·
Graduate How can we simplify calculating geodesic distances on a deformed Earth?
- dextercioby
- · Replies 1 ·
Graduate Minimal Surfaces, Differential Geometry, and Partial Differential Equations
- octohydra
- · Replies 1 ·
Undergrad 3d rotation of accelerometer vectors
- IMK
- · Replies 1 ·
Graduate Finding the Equation of a Rotated Cone
- eddo
- · Replies 1 ·
Graduate Geometric Calculus and differential forms in physics
- laserblue
- · Replies 1 ·
Graduate Preparing for STEP: Solving a Sphere Tangency Problem
- Positronized
- · Replies 1 ·
Graduate Volume using pseudo-spherical coordinates
- conservative
- · Replies 1 ·
Undergrad Mapping Euler spiral (clothoid) parameters
- rivimey
- · Replies 1 ·
Graduate Geometry of perspective: apparent projected distance
- Galap
- · Replies 1 ·
Graduate Scale factors and the Jacobian Matrix
- Andromon
- · Replies 1 ·
Graduate What is the Intuition Behind Unicursal Curves and Their Double Points?
- bolbteppa
- · Replies 1 ·
Graduate Why Does the Radius in Parabolic Coordinates Involve √(εη)?
- bolbteppa
- · Replies 1 ·
Graduate Non-Convex Coordinate Transform Problem Rotating Frame
- phil0stine
- · Replies 2 ·
Undergrad Parameterized surfaces from coordinates
- Pencilvester
- · Replies 2 ·
Undergrad How is rotation related to the curl of a vector field?
- Apashanka
- · Replies 2 ·
Graduate What Is a Lune on a Sphere and Its Key Properties?
- Greg Bernhardt
- · Replies 1 ·
Graduate Definition of Lie Group and its Algebras
- Greg Bernhardt
- · Replies 1 ·
Graduate What is the definition of ∇ ⊗ ∇f in different coordinate systems?
- member 428835
- · Replies 5 ·
Undergrad Definition of Displacement: Change in Position
- Greg Bernhardt
- · Replies 1 ·
Graduate What is a covariant derivative
- Greg Bernhardt
- · Replies 1 ·
Graduate What are the key differences between 1-forms and 2-forms in vector spaces?
- Greg Bernhardt
- · Replies 1 ·
Graduate What is the Generalized Stokes' Theorem and its Applications?
- Greg Bernhardt
- · Replies 1 ·
Graduate What is a Tensor: FAQ Definition/Summary
- Greg Bernhardt
- · Replies 1 ·
Graduate Why is transversality important in differential geometry?
- aboutammam
- · Replies 19 ·
Graduate Mixed intrinsic and extrinsic angles in 3D rotations
- aydos
- · Replies 1 ·
Undergrad Proving that an action is transitive in the orbits
- Andres316
- · Replies 8 ·
Graduate Fractional spacetime, dimension equation
- jk22
- · Replies 1 ·
Undergrad How does the covariant derivative of a tensor relate to partial derivatives?
- mk9898
- · Replies 6 ·