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 Can anyone define the fourth dimension geometrically?
- shawnr
- · Replies 7 ·
Graduate Bundle and differential manifold
- Calabi
- · Replies 6 ·
Graduate What is a fiber bundle and how is it related to smooth manifolds?
- Fredrik
- · Replies 16 ·
Undergrad Evaluating $$ (a \wedge b)(c\wedge d)(e \wedge f)(g \wedge h) $$
- PhyAmateur
- · Replies 4 ·
HIGHLY Rigorous Treatment of the Trigonometric Functions
- Math Amateur
- · Replies 5 ·
Graduate Are Jacobi fields defined at intersection points?
- Matterwave
- · Replies 14 ·
Graduate Constructing an Atlas for ##S^2## with Spherical Coordinates
- Geometry_dude
- · Replies 7 ·
Graduate Mapping of the standard k-simplex in R^n to X
- cpsinkule
- · Replies 1 ·
Graduate Need some help understanding boundary operator on simplicies
- cpsinkule
- · Replies 13 ·
Graduate Translation from vector calc. notation to index notation
- JonnyMaddox
- · Replies 8 ·
Graduate Rope tangent angle over pully given position of offset load
- Wayland Bugg
- · Replies 9 ·
Graduate Calculate moment of inertia of a "L" angle bent in a parabola
- Shaheen Uqab
- · Replies 13 ·
Graduate Hodge duality and some properties
- PhyAmateur
- · Replies 6 ·
Undergrad Foundations of Geometry Reading Suggestions?
- Charles Stark
- · Replies 3 ·
Graduate Metrics and Group Structure Reduction
- Oxymoron
- · Replies 5 ·
Graduate Boundary of a chain, Stokes' theorem.
- Kim.S.H
- · Replies 2 ·
Graduate Which Fields Are Naturally Manifolds Beyond ##\mathbb{R}## and ##\mathbb{C}##?
- WWGD
- · Replies 8 ·
Graduate Vectors in Tangent Space to a Manifold Independent of Coordinate Chart
- "Don't panic!"
- · Replies 18 ·
Graduate Differentiability of a function on a manifold
- "Don't panic!"
- · Replies 3 ·
Graduate Covariant equation intuition confusing me
- NotASmurf
- · Replies 13 ·
Graduate Equation for a tilted parabola in 3D?
- 2sin54
- · Replies 2 ·
Differential Equations Course: What to Expect & How to Prepare
- ineedhelpnow
- · Replies 2 ·
Graduate ± sqrt(b^2 - a^2) = ± b ± ai ?
- Philip
- · Replies 6 ·
Graduate Curve Matching Techniques for Rotated Curves in Geometric Analysis
- klau
- · Replies 1 ·
Graduate Vectors as a differential op and covectors as differenential
- binbagsss
- · Replies 2 ·
Undergrad 3D geometry: parametric equation and tangents
- AdityaDev
- · Replies 1 ·
Graduate Closed-space sphere "displacement"?
- bahamagreen
- · Replies 1 ·
Graduate Legality and Generality of a Simplifying Method
- ELB27
- · Replies 2 ·
Undergrad Proof of Cyclic Graph Edges = Vertices Formula
- Charles Stark
- · Replies 3 ·
Graduate Demonstrating Tangent Space Independence in Manifolds
- Calabi
- · Replies 17 ·
Graduate Conformal mapping from polygon with circle segments
- Kurret
- · Replies 1 ·
Proving P∩Q=R∩S for Curves $P,Q,R,S$
- anemone
- · Replies 2 ·
Graduate Can Pappus' Theorem Explain the Gaps on a Torus?
- autodidude
- · Replies 1 ·
Graduate More on Universal Cover of a Surface with Boundary
- WWGD
- · Replies 1 ·
Graduate A Puzzle: Find an Ellipse Tangent to a Circle
- quantumdude
- · Replies 6 ·
Graduate Surface Area Vector in Exterior Algebra 3D
- mikeeey
- · Replies 7 ·
Find the equation of parabola with vertex (2, 1) and focus (1, -1)
- sagarsoni7
- · Replies 3 ·
Graduate Covariant and Contravariant Tensors
- putongren
- · Replies 2 ·
Graduate What are the topological properties of the FLRW model?
- kostas230
- · Replies 4 ·
Graduate If the Product Manifold MxN is orientable, so are M,N.
- WWGD
- · Replies 4 ·
Graduate Classifications of basis vectors
- mikeeey
- · Replies 7 ·
Graduate General method of parameterization
- DivergentSpectrum
- · Replies 3 ·
Graduate Connections & Forms: Torsion, Curvature & Solder 1-Form
- mikeeey
- · Replies 12 ·
Graduate What is Tensor Calculus and How is it Related to Differential Geometry?
- aditya ver.2.0
- · Replies 2 ·
Graduate Wrapping a 3D space wihtin a 4D space
- Sebastien77
- · Replies 4 ·
Graduate Adjacency Matrix to Coordinate Transformations
- lightfire
- · Replies 4 ·
Graduate Restricting Base of Bundle. Which Properties are Preserved?
- WWGD
- · Replies 1 ·
High School Understanding the Closed Mobius Strip: Get Help Here!
- ozlem
- · Replies 1 ·
Calculate the order of the point
- evinda
- · Replies 7 ·
Graduate Hyperbolic Manifold With Geodesic Boundary?
- WWGD
- · Replies 5 ·
Undergrad Calculating Normal Vectors for 2D Surfaces: A Scientific Approach
- hoang anh tuan
- · Replies 6 ·
Graduate Can't comb hair on a 2-sphere. On a Calabi Yau manifold?
- Spinnor
- · Replies 12 ·
Graduate What can a complex manifold do for me that real manifolds can't.
- Spinnor
- · Replies 3 ·
Graduate Do Coordinate Charts Alone Identify a Unit Circle?
- dyn
- · Replies 3 ·
Graduate "Calabi-Yau Manifold for Dummies", short, at universe-review.ca"
- Spinnor
- · Replies 1 ·
Graduate Atlas of torus and sphere. Atlas of Calabi–Yau manifold.
- Spinnor
- · Replies 3 ·
Graduate Parallel transport on a cardioid
- JonnyMaddox
- · Replies 2 ·
Graduate One-forms in differentiable manifolds and differentials in calculus
- victorvmotti
- · Replies 12 ·
Graduate Surfaces of constant gradient-magnitude
- JanEnClaesen
- · Replies 1 ·
Graduate Total derivative in action of the field theory
- victorvmotti
- · Replies 1 ·
Graduate Radius of Triaxial / Scalene Ellipsoid
- AwooOOoo
- · Replies 1 ·
Graduate Physics interpretation of integrals of differential forms
- davi2686
- · Replies 4 ·
Undergrad What's the difference between tensors and vectors?
- johann1301
- · Replies 2 ·
Graduate Non-Affine Connections: Why & What?
- Geometry_dude
- · Replies 1 ·
Graduate Can \( d \omega = 0 \) Be Concluded from \( \int_{\partial S} \omega = 0 \)?
- davi2686
- · Replies 6 ·
Graduate Loxodrome - found a mistake on Wolfram MathWorld site?
- kkz23691
- · Replies 11 ·
Graduate The Grassmanian manifold's topology
- camilus
- · Replies 6 ·
Graduate How Can I Obtain the 2-Form and P-Form Associated with a Vector Field?
- davi2686
- · Replies 6 ·
Graduate Still wondering exp(so(N)) and SO(N)
- jostpuur
- · Replies 5 ·
Graduate Can the Thickness of a 3D Spiral Curve be Defined Parametrically?
- sukharef
- · Replies 2 ·
Graduate Loxodrome Question: Unraveling the Definition
- kkz23691
- · Replies 2 ·
Graduate Spherical Coordinates Confusion: Which Set is Correct?
- kkz23691
- · Replies 4 ·
Graduate Rectifying Curve: John Oprea's Differential Geometry Book
- thoughtgaze
- · Replies 1 ·
Graduate Deriving spherical unit vectors in terms of cartesian unit vectors
- chipotleaway
- · Replies 2 ·
Undergrad Identifying local maximum, local minimum and saddle point.
- BondKing
- · Replies 3 ·
Graduate Formal Computations of Euler Classes
- WWGD
- · Replies 19 ·
Graduate How to draw a 2D space in 3D Euclidean space by metric tensor
- arpon
- · Replies 1 ·
Graduate How to prove Any curve in space can be written as for a parameter
- persyan
- · Replies 11 ·
Graduate Mapping 3D point to cone surface using perpendicular line
- mamort
- · Replies 2 ·
Graduate Multiplicity free fibers in maps between vector bundles
- camilus
- · Replies 1 ·
Graduate Can Curvature Be Integrated Over Space in General Relativity?
- friend
- · Replies 5 ·
Graduate Puzzled with the loxodrome ( spherical spiral ) equation
- kkz23691
- · Replies 7 ·
Graduate Riemannian Geometry exponential map and distance
- ireallymetal
- · Replies 4 ·
Undergrad Directional derivatives and the gradient vector
- BondKing
- · Replies 6 ·
Graduate What is the Geometric Interpretation of Principal Bundles with Lie Group Fibres?
- JonnyMaddox
- · Replies 8 ·
High School Understanding Transitional Lines to Parallel and Non-Parallel Lines
- lightbender
- · Replies 2 ·
Graduate How to define covariant basis in curved space 'intrinsicly'?
- arpon
- · Replies 2 ·
Graduate Are Euler-Lagrange Equations Applicable to All Differential Manifolds?
- Incand
- · Replies 2 ·
Undergrad Determine center point of offset circle
- examorph
- · Replies 5 ·
Graduate Understanding Euler Classes in Smooth Manifolds
- lavinia
- · Replies 4 ·
Graduate Is Every Diff. Form on a Submanifold the Restriction of a Form in R^n?
- WWGD
- · Replies 7 ·
Calculating Genus of a Curve Using Falting's Theorem
- bitsmath
- · Replies 4 ·
Undergrad Changing the subject of an equation involving summation
- resurgance2001
- · Replies 9 ·
Graduate What Are the Key Questions About Isometry in Manifolds?
- synoe
- · Replies 2 ·
Graduate Elliptic geometry in 3 dimensions
- TrickyDicky
- · Replies 1 ·
Graduate Stuggling with the abstraction of manifolds
- dyn
- · Replies 12 ·
Graduate Connection on a principal bundle Intuition
- center o bass
- · Replies 11 ·
Graduate What is the Tangent Space to the Unitary Group?
- Kreizhn
- · Replies 16 ·
Graduate When is a foliated manifold a fibre bundle?
- center o bass
- · Replies 5 ·
Graduate What is the parametrization of the graph of ln(x)?
- lovexmango
- · Replies 1 ·