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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 Transformation of Vectors Confusion
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Graduate Divergence of tensor times vector
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MHB The equation of a hyperbolic paraboloid to derive the corner points of rectangle
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Graduate Do Manifolds have distance relations between points?
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Graduate Can unquantized fields be considered smooth curved abstract manifolds?
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Graduate What is the area of intersection between two adjacent spherical caps?
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Graduate Where can I find information on S^3?
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Graduate Question about Christoffel symbol's value
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Graduate Orthonormal basis vectors for polar coordinate system
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Graduate Divergence of product of tensor and vector
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Graduate Is the Spin Connection Problem Affecting My Derivation of the Dirac Equation?
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Graduate Silly question about the Theorema Egregium
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Undergrad Geometry Problem involving packing Hexagons into Circles
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Graduate No metric on S^2 having curvature bounded above or below by 0
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MHB Joko's question at Yahoo Answers (r(t) perpendicular to r'(t))
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Graduate Contracting Tensors: Multiply by g^αρgασ?
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Graduate Vectors in curvilinear coordinate systems
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Graduate What Is the Maximum Value of x for Points on a Plane and Sphere in 3D Geometry?
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Graduate Can the Relationship Between Levi-Civita Tensor and Kronecker Symbol Be Proven?
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Graduate How Do You Calculate g(W,W) Using the Given Metric?
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Undergrad What Type of Curve Uses Sequential Control Points from A0 to A6?
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Graduate What Does Locally Euclidean Mean in the Context of Manifolds?
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Graduate Can a 4-Sphere Have a Circumference?
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Graduate How can a cubic Bezier curve be constructed to have a tangent to a circle?
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Graduate Continuity of the Bezier Curve, Question
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Graduate What Defines the Components of a 2-form?
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MHB Wizard1's question at Yahoo Answers (Isometry)
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Graduate Can You Recall the Formula for Finding the Area of a Spherical Patch?
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Graduate Why Must the Image of U Be Open in \(\mathbf{R}^n\)?
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Undergrad How can I find the angle of a curve in a shape with a given length and radius?
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Undergrad Laws of area and conservation of momentum
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MHB Bebe's question at Yahoo Answers (Curv. and torsion)
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Graduate How is the Chain Rule Applied in Geometric Tangent Vectors?
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Graduate Using Tensor Notations and Levi Civita Symbol to Prove Lagrange's Identity
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Graduate Need Help with Mathematical Proof? - Introducing Myself & Seeking Assistance
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Graduate Curl of Gradient: When is a Conservative Field Not Irrotational?
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Undergrad Formulation of the Complex Plane
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Graduate Properties of Differentials, Smooth Manifolds.
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Graduate Is It More Precise to Define Manifolds as Topological Vector Spaces?
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Graduate Derivative of a curve traversed in the opposite direction
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MHB Mr.Ask's question at Yahoo Answers (curvature)
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MHB Fascinating Properties: Excluding 998 from 0.001002003004...
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Graduate Understanding Manifolds and Riemann Manifolds: Applications and Explanation
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Graduate What is an "induced map"? Is it a Quotient Map?
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Graduate Can a Set of Sections Globally Generate a Vector Bundle?
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Graduate Sphere is the object that has the minimal area for a fix volume, proof
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MHB Henry's question at Yahoo Answers concerning a surface of revolution
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Graduate Integral of mean curvature function
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Graduate Elementary Differential Forms Question
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Graduate Question about Differential Forms as Size of Projections
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Graduate Equivariant Homotopy: M & N Manifolds, G-Action & Cohomology Rings
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Graduate Comparing Norms & Metrics: Axioms & Differences
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Graduate Divergence theorem question on hyperplanes
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Graduate A rather difficult problem: deltoid inscribed into an ellipse
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Graduate Can Intersecting Planes Be Represented by a New Form of 3D Angles?
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Graduate Differentisl geometry internal contraction
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MHB David's question at Yahoo Answers (horizontal tangente plane).
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Graduate Bochner-Weitzenbock formula (-> Laplacian)
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Graduate Diffeomorphisms, Differential Structure, ETC.
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Graduate Unit of Four Dimensional Space Measurement?
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High School What are the key differences between Euclidean and plane geometry?
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Undergrad Exploring the Role of Spherical Unit Vectors in Coordinate Systems
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Graduate Proof by Induction: Closure of Union = Union of Closures
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Undergrad Equation of an ellipse and tangents
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Graduate How Can the Laplacian Relate to Einstein Manifolds?
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Graduate Is a cone the degenerate of a 4 dimensional hyperbola?
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Graduate How to understand differential geometry
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Graduate Definition of the boundary map for chain complexes
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MHB Reciprocal Vectors: Representing $\mathbf{u}_i$ in Indicial Notation
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MHB Vector equation of a spherical surface
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Graduate Summing the Mountains and Valleys of a Regular Polygon
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Graduate The Relation between Cup Product and Wedge Product
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Graduate Can a Triangle Have Angles Over 180 Degrees Without 3D Embedding?
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Graduate Generalizing Cross Products: Finding Orthogonal Vectors in n-Dimensional Space?
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Graduate How does the curl equation measure rotation?
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Graduate How to find angle after two rotations
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Graduate Does a 3D Half-Edge Data Structure Exist?
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Undergrad Can you triangulate a triangle? (also, odd sided polygons to represent surfaces)
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High School How to calculate/find the volume of drinking bottles and product containers?
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Graduate How to find an angle in spherical geometry.
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Graduate Where Does the Coordinate Basis Approach to Lie Groups Break Down?
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Graduate How to calculate the solid angle of a cone with cone axis arbitrary?
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Graduate Fixed Point Theorem: Unit Square Injection to Bigger Square
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MHB Position of Particle in a Circular Path: Solution
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Undergrad Surface Constant: What Does It Mean & Impact on Gradient?
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Undergrad What is a Tensor? Explanations & Understanding
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Undergrad Determining Areas of Triangles in Hexagon ABCDEF
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Graduate Differential geometry vs differential topology
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Graduate Definition of the wedge product on the exterior algebra of a vector space
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Graduate FKG Inequality: Reference & Explanation
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Graduate Atlas of complex projective 3-space ##\mathbb{C}P^3##
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Graduate Graphing Covariant Spherical Coordinates
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Graduate Does Every Circle Bundle Originate from a 2-Plane Bundle?
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High School How Do You Calculate (X,Y) Coordinates on a Circle with a Given Radius?
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Undergrad Where Do Points Sum to Two-Thirds the Perimeter of a Rectangle?
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Graduate Why do different dimensions have different numbers of differential structures?
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Graduate Continuous R^2xR^2xR^2/E^+(2) -> R^3 injection
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Graduate Difficulty with the pullback bundle
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Graduate Understanding Riemann Surfaces in Complex Analysis
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Graduate Can Seven Vertices of a 19-Gon Form a Trapezoid Using the Pigeonhole Principle?
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