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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.
Graduate What is a fiber bundle and how is it related to smooth manifolds?
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Undergrad Evaluating $$ (a \wedge b)(c\wedge d)(e \wedge f)(g \wedge h) $$
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MHB HIGHLY Rigorous Treatment of the Trigonometric Functions
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Graduate Are Jacobi fields defined at intersection points?
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Graduate Constructing an Atlas for ##S^2## with Spherical Coordinates
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Graduate Mapping of the standard k-simplex in R^n to X
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Graduate Need some help understanding boundary operator on simplicies
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Graduate Translation from vector calc. notation to index notation
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Graduate Rope tangent angle over pully given position of offset load
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Graduate Calculate moment of inertia of a "L" angle bent in a parabola
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Graduate Hodge duality and some properties
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Undergrad Foundations of Geometry Reading Suggestions?
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Graduate Metrics and Group Structure Reduction
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Graduate Boundary of a chain, Stokes' theorem.
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Graduate Which Fields Are Naturally Manifolds Beyond ##\mathbb{R}## and ##\mathbb{C}##?
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Graduate Vectors in Tangent Space to a Manifold Independent of Coordinate Chart
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Graduate Differentiability of a function on a manifold
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Graduate Covariant equation intuition confusing me
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Graduate Equation for a tilted parabola in 3D?
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MHB Differential Equations Course: What to Expect & How to Prepare
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Graduate ± sqrt(b^2 - a^2) = ± b ± ai ?
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Graduate Curve Matching Techniques for Rotated Curves in Geometric Analysis
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Graduate Vectors as a differential op and covectors as differenential
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Undergrad 3D geometry: parametric equation and tangents
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Graduate Closed-space sphere "displacement"?
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Graduate Legality and Generality of a Simplifying Method
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Undergrad Proof of Cyclic Graph Edges = Vertices Formula
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Graduate Demonstrating Tangent Space Independence in Manifolds
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Graduate Conformal mapping from polygon with circle segments
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MHB Proving P∩Q=R∩S for Curves $P,Q,R,S$
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Graduate Can Pappus' Theorem Explain the Gaps on a Torus?
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Graduate More on Universal Cover of a Surface with Boundary
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Graduate A Puzzle: Find an Ellipse Tangent to a Circle
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Graduate Surface Area Vector in Exterior Algebra 3D
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MHB Find the equation of parabola with vertex (2, 1) and focus (1, -1)
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Graduate Covariant and Contravariant Tensors
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Graduate What are the topological properties of the FLRW model?
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Graduate If the Product Manifold MxN is orientable, so are M,N.
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Graduate Classifications of basis vectors
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Graduate General method of parameterization
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Graduate Connections & Forms: Torsion, Curvature & Solder 1-Form
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Graduate What is Tensor Calculus and How is it Related to Differential Geometry?
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Graduate Wrapping a 3D space wihtin a 4D space
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Graduate Adjacency Matrix to Coordinate Transformations
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Graduate Restricting Base of Bundle. Which Properties are Preserved?
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High School Understanding the Closed Mobius Strip: Get Help Here!
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MHB Calculate the order of the point
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Graduate Hyperbolic Manifold With Geodesic Boundary?
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Undergrad Calculating Normal Vectors for 2D Surfaces: A Scientific Approach
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Graduate Can't comb hair on a 2-sphere. On a Calabi Yau manifold?
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Graduate What can a complex manifold do for me that real manifolds can't.
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Graduate Do Coordinate Charts Alone Identify a Unit Circle?
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Graduate "Calabi-Yau Manifold for Dummies", short, at universe-review.ca"
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Graduate Atlas of torus and sphere. Atlas of Calabi–Yau manifold.
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Graduate Parallel transport on a cardioid
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Graduate One-forms in differentiable manifolds and differentials in calculus
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Graduate Surfaces of constant gradient-magnitude
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Graduate Total derivative in action of the field theory
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Graduate Radius of Triaxial / Scalene Ellipsoid
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Graduate Physics interpretation of integrals of differential forms
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Undergrad What's the difference between tensors and vectors?
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Graduate Non-Affine Connections: Why & What?
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Graduate Can \( d \omega = 0 \) Be Concluded from \( \int_{\partial S} \omega = 0 \)?
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Graduate Loxodrome - found a mistake on Wolfram MathWorld site?
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Graduate The Grassmanian manifold's topology
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Graduate How Can I Obtain the 2-Form and P-Form Associated with a Vector Field?
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Graduate Still wondering exp(so(N)) and SO(N)
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Graduate Can the Thickness of a 3D Spiral Curve be Defined Parametrically?
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Graduate Loxodrome Question: Unraveling the Definition
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Graduate Spherical Coordinates Confusion: Which Set is Correct?
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Graduate Rectifying Curve: John Oprea's Differential Geometry Book
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Graduate Deriving spherical unit vectors in terms of cartesian unit vectors
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Undergrad Identifying local maximum, local minimum and saddle point.
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Graduate Formal Computations of Euler Classes
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Graduate How to draw a 2D space in 3D Euclidean space by metric tensor
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Graduate How to prove Any curve in space can be written as for a parameter
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Graduate Mapping 3D point to cone surface using perpendicular line
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Graduate Multiplicity free fibers in maps between vector bundles
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Graduate Can Curvature Be Integrated Over Space in General Relativity?
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Graduate Puzzled with the loxodrome ( spherical spiral ) equation
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Graduate Riemannian Geometry exponential map and distance
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Undergrad Directional derivatives and the gradient vector
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Graduate What is the Geometric Interpretation of Principal Bundles with Lie Group Fibres?
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High School Understanding Transitional Lines to Parallel and Non-Parallel Lines
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Graduate How to define covariant basis in curved space 'intrinsicly'?
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Graduate Are Euler-Lagrange Equations Applicable to All Differential Manifolds?
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Undergrad Determine center point of offset circle
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Graduate Understanding Euler Classes in Smooth Manifolds
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Graduate Is Every Diff. Form on a Submanifold the Restriction of a Form in R^n?
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MHB Calculating Genus of a Curve Using Falting's Theorem
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Undergrad Changing the subject of an equation involving summation
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Graduate What Are the Key Questions About Isometry in Manifolds?
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Graduate Elliptic geometry in 3 dimensions
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Graduate Stuggling with the abstraction of manifolds
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Graduate Connection on a principal bundle Intuition
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Graduate What is the Tangent Space to the Unitary Group?
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Graduate When is a foliated manifold a fibre bundle?
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Graduate What is the parametrization of the graph of ln(x)?
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MHB What Is the Optimal Geometry for a Concrete Column Supporting 1250 Tonnes?
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Graduate Why is there maximally 1/2 n(n+1) killing vectors?
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