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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 Can contraction of a tensor be defined without using coordinates?
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Graduate Learn Submanifold Definition in Differential Geometry
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Graduate Get vector position projected on line
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Graduate Definition of tensors - abstract and concrete
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Graduate How to prove the bilinearity of a given metric using tensorial product addition?
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Graduate What is the mistake in my coordinate transformation for Theorema Egregium?
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Graduate Projection of a point from one plane onto another
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Graduate Local parameterizations and coordinate charts
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Graduate Equidistant points on the suface of a sphere
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Undergrad Excellent video series raises good question:
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Graduate Raising and Lowering Indices and metric tensors
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Undergrad What are the normalized vectors in polar coordinates?
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Graduate Differentiating maps between vector spaces
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Undergrad Hyperbolic space game: math help
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Graduate Displacement Operator: Exponential of Parameter & Vector?
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Undergrad Sphere in Cube: Can it be Defined?
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Graduate Coordinate charts and change of basis
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Graduate Understanding the Gradient in Different Coordinate Systems
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Graduate Calculating Area on Sphere: Unit Sphere & Rings
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Graduate Are There Special Properties of Geodesics in a Lie Group?
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Undergrad Point movement on a surface of a sphere
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Graduate Could someone critique this? (Lie Group with the Lie Algebra)
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Graduate Calculus on Manifolds: Lie Algebra, Lie Groups & Exterior Algebra
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Graduate What are the key differences between a manifold and a submanifold?
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Graduate Torus parametrization and inverse
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Graduate Differential map between tangent spaces
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Graduate Proof of dimension of the tangent space
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Graduate Principal normal and curvature of a helix
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Graduate Infinitesimal displacement in spherical coordinates
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Graduate Understanding the Tensor Product of Two One-Forms in Differential Geometry
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Graduate As accurately as possible draw a curve in the real space R2
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High School What is the Measure of Angle BAC in This Circle Geometry Problem?
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Graduate Surface joining two points in a family of concentric spheres
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Graduate The speed of a curve in different coordinate systems
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Graduate Why is a gradient not always a vector
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Graduate Problem with definition of tensor
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Graduate Proof the shortest path on a sphere is the great circle.
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Graduate Projection stereographic and second fundamental form
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Undergrad Parametric equations of various shapes
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Graduate Counting Degrees of Freedom in Tensor
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Graduate Ricci tensor equals zero implies flat splace?
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Graduate Curve extrapolation: polynomial or Bézier?
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Undergrad How to convert a hyperbolic system to cartesian?
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Undergrad Equation of family of circles
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Graduate Noethers theorem, physics and mathematics
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Graduate How to derive the formula for moment of inertia of polygon?
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Graduate A technical question that has to do with Hodge Star
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Graduate 'curve-in' condition in an equiangular spiral
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Graduate Minimal Surface between two different coaxial circules
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Graduate Integration of Ricci Scalar Over Surface
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Graduate Parametrizing a Complex Curve on a Torus Surface
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Graduate Rotation matrix about an arbitrary axis
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Graduate Rotate a three-sphere so every point moves in R^4?
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Graduate Constructing S^3 from a S^2 and a bunch of S^1's?
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Graduate Why $H$ is a (1,2) tensor field?
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Graduate Do not understand concept of Riemann geometry.
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Graduate Hodge duality and differential forms
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Graduate Levi-Civita Symbol and indefinite metrics
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Graduate Equation (with polar coordinates) of circle on a sphere
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Graduate What is an inclusion map? (manifolds)
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Undergrad How to Find the Area of a Truncated Ellipse?
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Graduate Confocal ellipse and hyperbola
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Graduate How Does Gradient Impact Sphere Rolling Direction on a Surface?
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Graduate What is the interpretation of dx in calculus?
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Graduate Set of points in S^3, way to show spaced equal or not?
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Graduate Pi and the curvature of the universe
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Graduate Curves and tangent vectors in a manifold setting
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Graduate Integrating Forms on Manifolds: Understanding the Concept and Techniques
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Graduate Tangent vectors as directional derivatives
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Graduate Can one "chop" up S^3 into little cubes?
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Graduate Understanding Manifolds: Questions & Answers
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Graduate Working out a point / segment on a sphere
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Graduate Intuition and existence for convex neighbourhoods
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MHB Find Length of Arc EF in Triangle ABC
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Graduate Why are vectors defined in terms of curves on manifolds
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Graduate What is the parity inversion of antisymmetric tensor
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Graduate Calculating Equations of Ellipses Within a Cone
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Graduate A suggested operational definition of tensors
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Graduate Koszul Connexion: Explained Simply
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Graduate Attempting to understand diffeomorphisms
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Graduate Is this a valid parametrization of the torus?
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Graduate What Does Equation 5.7 in Introducing Einstein's Relativity Really Mean?
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Graduate Question about geometric algebra -- Can any one help?
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Graduate Confusion About Notation with Tensors
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Any value to Spivak's Differential Geometry set?
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Graduate Diffeomorphisms and active transformations
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Graduate A question on defining vectors as equivalence classes
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Graduate How does regularity of curves prevent "cusps"?
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Graduate Show that this vector is timelike?
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MHB PDE or differentiable manifolds?
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Graduate Difference between "intrinsic"and "parametric" curvature
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MHB Search for Senior Undergraduate Text on Lie Theory and Groups
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Graduate Where do I start learning differential geometry?
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Graduate Lie Dragging and Lie Derivatives
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Graduate Questions about tangent spaces & the tangent bundle
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Graduate Understanding the notion of a tangent bundle
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Graduate Tensor Fields - Tensor Product of Two Gradient Operators
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Graduate Surface area of a region of a torus
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Graduate Can anyone define the fourth dimension geometrically?
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Graduate Bundle and differential manifold
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