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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Graduate Defining curvilinear coordinates without a Cartesian reference frame
- Lajka
- · Replies 2 ·
Undergrad How many rectangles fit in a triangle?
- benbenny
- · Replies 6 ·
Undergrad Deriving the Spherical Unit Vectors
- Shock
- · Replies 4 ·
Graduate Can a Generalized Prismatoid Volume be Solved by Axiomatic Means?
- fcsc
- · Replies 1 ·
Graduate Understanding Lie Groups: A Simple Definition
- Matterwave
- · Replies 7 ·
Undergrad How to get formula for focus and directrix
- ilya.s
- · Replies 2 ·
Undergrad Finding circle radius tangent to one side of a right triangle
- dgoldman86
- · Replies 2 ·
Graduate Maximum non-adjacent vertices of an n-cube on a hyperplane
- jorgealnino
- · Replies 2 ·
Graduate Classifying Manifolds: Why Celebrated?
- jem05
- · Replies 2 ·
High School Do we know everything about 2d geometry?
- kramer733
- · Replies 7 ·
Graduate Contraction of the canonical symplectic form by vertical vectors
- mma
- · Replies 4 ·
Undergrad Applying Ceva's theorem to concurrent lines from a triangle's incircle
- tamintl
- · Replies 1 ·
Graduate Hi,i want to understand how fundamental group of a closed oriented
- seydunas
- · Replies 8 ·
Undergrad Best Fit for 2-D Shapes in Larger Shape?
- KBean
- · Replies 1 ·
Graduate Why is a parametric curve's derivative not a vector field?
- Lajka
- · Replies 13 ·
Undergrad Latus rectum for the non-mathematician
- bhnh
- · Replies 3 ·
Graduate Why is a vector field with curl 0 not conservative everywhere?
- kliang1234
- · Replies 4 ·
Graduate Basis for tangent space and cotangent space
- gts87
- · Replies 23 ·
Graduate Topology of flat spatime -metric?
- dslowik
- · Replies 24 ·
Undergrad What is the direction of the curl of a vector A? If y-component of
- saravanan13
- · Replies 1 ·
Undergrad Creating a Vector Field from a 3D Parametric Equation
- theobserver
- · Replies 2 ·
Undergrad What is the Meaning of Tangential and Normal Components in Vector Analysis?
- saravanan13
- · Replies 1 ·
Graduate How to Determine if a Point Lies Inside a Tilted and Translated Ellipse?
- Sleeker
- · Replies 3 ·
Undergrad Graphing Particle Motion in 3D on iPad App
- theobserver
- · Replies 4 ·
Graduate Bachman's line integral versus classical line integral
- Rasalhague
- · Replies 1 ·
Graduate Support Mapping of an Arbitrary Ellipsoid
- Fruitless
- · Replies 1 ·
Undergrad How to Calculate Angle of Rotation on Multiple Axes?
- FrancoisLed
- · Replies 1 ·
Graduate Formal linear combinations in Bachman's differential forms
- Rasalhague
- · Replies 3 ·
Graduate Problems like four-colour theorem
- jobsism
- · Replies 11 ·
Graduate Lie Algebra of the reals with addition
- holy_toaster
- · Replies 4 ·
Undergrad Is Transitivity Applicable in Proving Subset Relations Among Sets A, B, and C?
- adriang
- · Replies 2 ·
Undergrad Show sphere slices equal cylinder slices outside a cone
- ber8
- · Replies 1 ·
Graduate Visualizing x(u,v): A Solution Requested
- niall14
- · Replies 5 ·
High School The 3D modeler, newbie and odd questions box
- probiner
- · Replies 3 ·
Graduate Some confusion regarding nomenclature
- Matterwave
- · Replies 1 ·
High School A Binary Operator Symbol Identification.
- BrockLee
- · Replies 1 ·
Undergrad Can solving a Rubik's cube be expressed in mathematical terms?
- jobsism
- · Replies 2 ·
Graduate Why is the Fundamental Group of Lens Space L(p,q) Z_p?
- seydunas
- · Replies 2 ·
Graduate Def. of (mod2) reduction of w in H_2(M,Z)
- Bacle
- · Replies 6 ·
Undergrad Finding the delta angle in an irregular quadrilateral with angle bisector
- nburo
- · Replies 20 ·
Graduate What is the Codifferential and How Can it be Calculated for 1-Forms?
- zetafunction
- · Replies 2 ·
Undergrad How can an equation produce the iconic Gateway Arch using a catenary curve?
- turnip
- · Replies 5 ·
Graduate Fecko: Differential Geometry 2.3.1
- Rasalhague
- · Replies 4 ·
Undergrad Why does the perimeter stay 4 as an inscribed polygon approaches a circle?
- jamester234
- · Replies 4 ·
Graduate How to Calculate the Box Counting Dimension in Chaos Theory?
- mathgeek4
- · Replies 14 ·
Undergrad Vector Geometry: Proving Quadrilateral PQRS is a Parallelogram
- serenaday
- · Replies 1 ·
Graduate Equations for the Lawson Klein Figure
- lxln
- · Replies 3 ·
Graduate What are the Confusions Surrounding Tensors in General Relativity?
- gabeeisenstei
- · Replies 1 ·
Graduate Intersection Form of Connected Sum of CP^2
- Bacle
- · Replies 3 ·
Graduate Does dx give a nowhere vanishing 1-form on any 1-dimensional manifold?
- jem05
- · Replies 4 ·
High School If a 3D object has 4 points. why use x,y,z to describe 3D?
- Darken-Sol
- · Replies 35 ·
Graduate Does a metric defined by principal curvatures preserve positive Gauss curvature?
- lavinia
- · Replies 1 ·
Graduate How Are Tensor Indices Ordered in Calculations?
- Andy_X
- · Replies 1 ·
Graduate Why Use Odd Notation for Tensors in Linear Algebra?
- Zorba
- · Replies 5 ·
Graduate Why is the instantaneous axis of rolling tangential to both surfaces?
- tiny-tim
- · Replies 7 ·
Graduate What are Fuzzy Manifolds and Their Role in Deformation?
- Ms Mrmr
- · Replies 1 ·
Graduate Laplacian on Riemannian manifolds
- math6
- · Replies 2 ·
Graduate Is the stereographic atlas of the sphere orientable?
- mritunjay
- · Replies 2 ·
Graduate What is the Definition of an Affine Hypersurface?
- Ms Mrmr
- · Replies 6 ·
Graduate What is a tensor product?
- dimension10
- · Replies 10 ·
Graduate Can you describe the metric on the space of positive definite quadratic forms?
- lavinia
- · Replies 7 ·
Graduate Finding default unit vectors in 3D modelling
- dr.fea
- · Replies 1 ·
Graduate Proving Constant Curvature in n-Dimensional Manifold
- camipol89
- · Replies 1 ·
Graduate Why Is an Apple Simply Connected but the Number 8 Multiply Connected?
- saravanan13
- · Replies 3 ·
Graduate What is Euclid's Euclidean space?
- Rasalhague
- · Replies 11 ·
Graduate Determining Homology Groups of S^2 with a Morse Function
- seydunas
- · Replies 12 ·
Undergrad Find a where angle between AB and median from A is 45°
- ferry2
- · Replies 8 ·
Graduate Basis + covariant derivative question
- 7thSon
- · Replies 2 ·
Graduate Definition of Normal (Intersection) Without Using a Metric
- Bacle
- · Replies 11 ·
Graduate Calculate reconstructionmatrix for ART
- Fiboehh
- · Replies 4 ·
Graduate How is the four vertex theorem for convex figures proved?
- johngalt007
- · Replies 6 ·
Graduate Why is H_1(K) zero for a triangulation of S²?
- kakarotyjn
- · Replies 5 ·
Graduate Product of a finite complex and a point
- Ad123q
- · Replies 2 ·
Graduate Reduced homology of sphere cross reals?
- redbowlover
- · Replies 3 ·
Graduate Intersection Form With Coeffs. in Z/2
- Bacle
- · Replies 5 ·
Graduate Tangent vectors as linear functionals on F(M)
- Rasalhague
- · Replies 6 ·
Graduate Change in Homology from Change in Coefficients
- Bacle
- · Replies 4 ·
Graduate How to Insure a Rectangle Lies Inside a Polyhedron?
- EngWiPy
- · Replies 45 ·
Undergrad How did trigonometry come about?
- JyN
- · Replies 3 ·
Graduate Calculate ellipse from 4 points?
- bww2000
- · Replies 4 ·
High School Calculating Minimum Number of Radio Towers for Complete 100 Mile Coverage
- Loren Booda
- · Replies 8 ·
Undergrad Finding c and the MGF for f(x) = ce^(-x)
- tee yeh hun
- · Replies 5 ·
Graduate What makes Lie Groups a crucial theory in modern dynamics and beyond?
- marcus
- · Replies 3 ·
Graduate Coordinate tranformations on an embedded surface of in 3 space
- lavinia
- · Replies 2 ·
Graduate Cartesian torque to Spherical Coordinates
- Olly613
- · Replies 3 ·
Graduate Does Z^n as the First Homology Group Imply R^n with Real Coefficients?
- petergreat
- · Replies 2 ·
Undergrad Curve Sketching, How to get the Function?
- Dragonetti
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Undergrad Will limit of discrete steps give Pythagoras theorem?
- krishna mohan
- · Replies 2 ·
Undergrad Why can finite elements handle complex geometries, but finite differences can't?
- bumblebee77
- · Replies 1 ·
High School Point equidistant from y-axis and (4, 0)
- MASH4077
- · Replies 6 ·
Graduate Structuring the graph of |x| so it is not a smooth manifold
- shoescreen
- · Replies 1 ·
Graduate Can a Riemannian manifold support a shape satisfying both circle and square definitions?
- andrewkirk
- · Replies 3 ·
Graduate Defining integrals of differential forms without parametrizations
- Goldbeetle
- · Replies 4 ·
Graduate Irreducible components of affine Variety
- tqgnaruto
- · Replies 2 ·
Undergrad Tangent line parallel to a plane
- jakey
- · Replies 2 ·
Graduate Which quantities are naturally forms, and which are (multi)vectors?
- chogg
- · Replies 3 ·
Undergrad Finding Radius of 3 Congruent Tangential Circles in Larger Circle
- BobFijiwinkle
- · Replies 2 ·
Graduate Spivak's notation re. tangent buldles (Diff. Geom. Vol. 1)
- Rasalhague
- · Replies 5 ·
Graduate Surjection Between Mapping Class Grp. and Symplectic Matrices
- Bacle
- · Replies 2 ·
Graduate Discrete quotient group from closed subgroup
- etnad179
- · Replies 10 ·