Join experts in discussing differential geometry topics. This includes manifolds, Tensors and forms. Connections and curvature also. Differential and algebraic topology discussion.
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Undergrad What Determines the Placement of Control Points in a Bezier Curve?
- null void
- · Replies 3 ·
Graduate Covariant derivative of a commutator (deriving Bianchi identity)
- center o bass
- · Replies 3 ·
Graduate Problem with Einstein notation and Levi-Civita symbol
- mnb96
- · Replies 8 ·
High School When to use alpha vs theta for angles
- PhysEd
- · Replies 6 ·
Graduate What are some applications of Lie derivative in physics?
- christianpoved
- · Replies 7 ·
Graduate Is a (hyper)sphere a (hyper)plane in spherical coordinates?
- bers
- · Replies 1 ·
Graduate How to Map Points Between the Poincaré Disk and the Cartesian Plane?
- mnb96
- · Replies 9 ·
How Do Frenet Equations Relate Torsion to Time Derivatives of Position?
- Dustinsfl
- · Replies 2 ·
Graduate Can l'Hopital's Rule Be Generalized for Differentiable Maps Between Manifolds?
- Mandelbroth
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Curvature and torsion on a helix
- Dustinsfl
- · Replies 1 ·
Graduate Arc length of a regular parametrized curve
- tuggler
- · Replies 2 ·
Fernet-Serrat equations and vector calculus
- Dustinsfl
- · Replies 2 ·
Graduate Calculating area with the metric
- Benjam:n
- · Replies 1 ·
Undergrad How to Begin Solving a Basic Open B-Spline Curve with Given Control Points?
- vee6
- · Replies 11 ·
Undergrad Unit vectors in polar co ordinates
- manimaran1605
- · Replies 1 ·
Graduate Intuition behind two manifolds being the same.
- center o bass
- · Replies 22 ·
Find the altitude of the triangle with minimum area
- MarkFL
- · Replies 2 ·
Graduate Integral Notation: Abuse or Necessity?
- Mandelbroth
- · Replies 3 ·
Graduate Showing that the Lie derivative of a function is the directional deriv
- center o bass
- · Replies 4 ·
Graduate Transformation relations tensors
- roldy
- · Replies 1 ·
Undergrad Tangent, normal, radius of curvature and coordinate systems in classical mechanics
- manimaran1605
- · Replies 7 ·
Graduate Line of maximum for a 2D 'surface'
- Karthiksrao
- · Replies 1 ·
Graduate Inverse Jacobi Matrix in Spherical Coordinates
- Coelum
- · Replies 6 ·
Graduate What is the value of δ^{λ}_{μ} in 4 dimensions?
- Dreak
- · Replies 2 ·
Surface of Revolution: Find Equation & Identify Surface
- Fernando Revilla
- · Replies 1 ·
Graduate What is the Hodge dual and how does it work?
- AlbertEi
- · Replies 11 ·
Let L1 be the line through P and Q
- karush
- · Replies 3 ·
Classification/terminology for shape of a curve
- ATroelstein
- · Replies 3 ·
Find the Largest Sphere That Will Fit Inside a Pyramid
- anemone
- · Replies 2 ·
Graduate Why can't elliptical space exist?
- acesuv
- · Replies 8 ·
Graduate Are Isometric Metric Spaces Identical?
- Whovian
- · Replies 1 ·
Graduate Calculating the Pullback of a 1-Form on S1 by a Differentiable Map
- WWGD
- · Replies 1 ·
How to Calculate the Radius of a Circle Tangent to Two Lines?
- ginger
- · Replies 4 ·
Graduate What is the Issue with Tensor Contraction Notation?
- littleHilbert
- · Replies 10 ·
Graduate First Fundamental Form from tangent vectors
- larry_b
- · Replies 1 ·
Find Tangent Lines to Polar Graph: r=2-3sin(θ)
- MarkFL
- · Replies 1 ·
Graduate Tensor summation and components.
- peripatein
- · Replies 11 ·
Graduate Obtaining spherical coordinates by rotations
- Niles
- · Replies 3 ·
Graduate Recursive 3D Tiling of Rhombic Dodecahedra
- Ventrella
- · Replies 1 ·
Graduate Is the integral in Little Spivak 4-24 integration of forms over chains?
- sammycaps
- · Replies 16 ·
Graduate Plausibility of a Discrete Point Manifold
- Mandelbroth
- · Replies 5 ·
Graduate What is the direct product S² × S² × ... × S²?
- LagrangeEuler
- · Replies 1 ·
Graduate When can we extend the minimal geodesics indefinitely?
- Dragonfall
- · Replies 16 ·
Proving a Statement about a Regular Curve: R of Area k
- Fernando Revilla
- · Replies 1 ·
Graduate Einstein Notation for Stored Energy Function
- singularme
- · Replies 1 ·
Graduate Riemannian Manifolds: Extending Geodesics Indefinitely
- Dragonfall
- · Replies 1 ·
Graduate How is Stone's Theorem Related to Lie Algebras and Unitary Groups?
- mma
- · Replies 5 ·
Undergrad How do Lie groups help solve ordinary differential equations?
- ayan849
- · Replies 20 ·
Graduate Are second derivative symmetric in a Riemannian manifold?
- fairy._.queen
- · Replies 4 ·
Graduate Why is the trace of jacobian=the divergence?
- marellasunny
- · Replies 4 ·
Graduate Parameters of helix approximated by parts of torus
- lewhoo
- · Replies 1 ·
Graduate What is the issue with tensor terminology and variable slot order?
- Fredrik
- · Replies 11 ·
Undergrad Point of Contact Between Arc and Circle
- mjgarrin
- · Replies 1 ·
Graduate Spivak's Differential Geometry I
- sammycaps
- · Replies 3 ·
Graduate What exactly is differential geometry?
- pierce15
- · Replies 5 ·
Graduate Is There a Difference Between Covariant and Contravariant Tensor Notations?
- Markus Hanke
- · Replies 3 ·
Undergrad Converting from cartesian to spherical boundaries
- dan38
- · Replies 1 ·
Graduate General rule product matrices?
- Yoran91
- · Replies 1 ·
High School Arc length as a function of height in a circle with tangent line
- rockwusho
- · Replies 7 ·
Graduate Conditions for using Stokes' Theorem
- Mandelbroth
- · Replies 7 ·
Graduate Tangent spaces and Ehresmann connections on non-manifold fibers
- WWGD
- · Replies 3 ·
Graduate Metric Tensor on a Mobius Strip?
- Mandelbroth
- · Replies 3 ·
Graduate Visualising the exterior derivative ?
- Markus Hanke
- · Replies 11 ·
Graduate Fiber bundles and the fiber for Electromagnetism.
- Spinnor
- · Replies 7 ·
Graduate Finding Killing vectors of the AdS metric
- llorgos
- · Replies 4 ·
Graduate Metric on torus induced by identification of points on plane
- Illuminatum
- · Replies 6 ·
Undergrad Basic understanding of differential geometry
- shounakbhatta
- · Replies 7 ·
Graduate Mapping 4D torus onto 4-sphere non-trivially
- nonequilibrium
- · Replies 8 ·
Graduate Calculation: Formula for Laplacian/tr(Hess)
- Sajet
- · Replies 2 ·
Graduate Symmetry of connection coefficients in metric and Levi-Civita connections
- pellman
- · Replies 2 ·
Graduate Transformation matrixes and tensors
- joda80
- · Replies 11 ·
Graduate Analysis of 4D Space-Time Distribution
- alejandrito29
- · Replies 1 ·
Graduate Trying to understand derivatives in terms of differential forms
- Mandelbroth
- · Replies 7 ·
Graduate Does an algebraic function always ramify at a multiple root?
- jackmell
- · Replies 7 ·
Graduate Question on generalized inner product in tensor analysis
- mnb96
- · Replies 4 ·
Graduate Inner product in curvilinear coordinates
- mnb96
- · Replies 15 ·
Graduate What is a Knot Vector and How Do You Find Its Value?
- mymachine
- · Replies 3 ·
Graduate Is the curl of a field a vector or a vector density?
- joda80
- · Replies 2 ·
Undergrad Cartesian to Polar: Angle Theta Interval Defined
- jamesb1
- · Replies 1 ·
Graduate Surfaces without an explicit representation.
- jamesb1
- · Replies 9 ·
Graduate Covariant Versus Contravariant Vectors
- pbhact
- · Replies 21 ·
Graduate What is the concept of a line in higher than 3D space?
- ftr
- · Replies 9 ·
Graduate Euler characteristic as a total derivative
- electroweak
- · Replies 2 ·
Graduate A general theory for reducing the number of variables?
- Stephen Tashi
- · Replies 2 ·
Graduate How Can I Fix My Indicial Notation Practice?
- muzialis
- · Replies 1 ·
Graduate Principle curvature: min and max curvature are always perpendicular?
- Relative0
- · Replies 3 ·
Graduate How should I approach this (coordinate transformation) problem?
- Swulf
- · Replies 3 ·
Graduate What Does d/dt g(t) and d/dt D_X Y Mean in Riemannian Manifold Calculations?
- Sajet
- · Replies 6 ·
Undergrad Dr/dt = (dr/du)(du/dt) + (dr/dv)(dv/dt)
- jamesb1
- · Replies 3 ·
Graduate Jacobi identity in local coordinates?
- quasar987
- · Replies 1 ·
Most efficient way to identify a circle
- Rashad9607
- · Replies 6 ·
Graduate Parametrizations of the 3-sphere
- jk22
- · Replies 3 ·
Graduate Can Diffeomorphisms be Represented by Matrices and Used in Image Analysis?
- garrus
- · Replies 4 ·
Graduate Why does integrating n-forms on Riemannian manifolds require √|g|?
- Kontilera
- · Replies 8 ·
Graduate True Algebraic Nature of Tensors
- Rising Eagle
- · Replies 9 ·
Graduate 2-dimensional differentiable surfaces
- Dragonfall
- · Replies 3 ·
Graduate Topological property of the Cantor set
- hedipaldi
- · Replies 4 ·
Graduate Connection forms on manifolds in Euclidean space
- lavinia
- · Replies 0 ·
Undergrad Fitting the 'tightest' rectangle to a set of three dimensional points
- Cbas
- · Replies 3 ·
Joko123's question at Yahoo Answers (Sketching a cone)
- Fernando Revilla
- · Replies 1 ·