Differential Geometry Forum

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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 a Generalized Prismatoid Volume be Solved by Axiomatic Means?
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Graduate Understanding Lie Groups: A Simple Definition
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Undergrad How to get formula for focus and directrix
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Undergrad Radius of a circle that intersects two points on a right triangle.
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Graduate Max Non-Adjacent Vertices from Intersection of Hyperplane & n-Cube
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Graduate Classifying Manifolds: Why Celebrated?
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High School Do we know everything about 2d geometry?
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Graduate Contraction of the canonical symplectic form by vertical vectors
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Undergrad Can anyone give me the low down on Ceva's Theorem?
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Graduate Hi,i want to understand how fundamental group of a closed oriented
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Undergrad Best Fit for 2-D Shapes in Larger Shape?
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Graduate Vector Field Derivatives: Why & How?
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Undergrad Latus rectum for the non-mathematician
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Graduate Understanding the Curl Theorem: Examples and Explanation
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Graduate Basis for tangent space and cotangent space
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Graduate Topology of flat spatime -metric?
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Undergrad What is the direction of the curl of a vector A? If y-component of
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Undergrad Creating a Vector Field from a 3D Parametric Equation
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Undergrad What is the Meaning of Tangential and Normal Components in Vector Analysis?
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Graduate How to Determine if a Point Lies Inside a Tilted and Translated Ellipse?
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Undergrad Graphing Particle Motion in 3D on iPad App
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Graduate Bachman's line integral versus classical line integral
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Graduate Support Mapping of an Arbitrary Ellipsoid
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Undergrad How to Calculate Angle of Rotation on Multiple Axes?
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Graduate Bachman's Geometric Approach to Differential Forms: Chains & Cells
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Graduate Problems like four-colour theorem
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Graduate Lie Algebra of the reals with addition
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Undergrad Is Transitivity Applicable in Proving Subset Relations Among Sets A, B, and C?
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Undergrad Geometry Problem: Show Area & Volume of Sphere & Cylinder
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Graduate Visualizing x(u,v): A Solution Requested
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High School The 3D modeler, newbie and odd questions box
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Graduate Some confusion regarding nomenclature
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High School A Binary Operator Symbol Identification.
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Undergrad Solving Rubik's Cube: Math & Strategy
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Graduate Why is the Fundamental Group of Lens Space L(p,q) Z_p?
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Graduate Def. of (mod2) reduction of w in H_2(M,Z)
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Undergrad Simple Geometry Problem: Finding the Delta Angle in an Irregular Quadrilateral
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Graduate What is the Codifferential and How Can it be Calculated for 1-Forms?
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Undergrad How can an equation produce the iconic Gateway Arch using a catenary curve?
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Graduate Fecko: Differential Geometry 2.3.1
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Undergrad Discover the Pi Paradox: The Infinite Perimeter of a Circle with a Diameter of 1
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Graduate How to Calculate the Box Counting Dimension in Chaos Theory?
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Undergrad Vector Geometry: Proving Quadrilateral PQRS is a Parallelogram
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Graduate Equations for the Lawson Klein Figure
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Graduate What are the Confusions Surrounding Tensors in General Relativity?
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Graduate Intersection Form of Connected Sum of CP^2
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Graduate Orientability of 1-Dimensional Manifolds: A Closer Look
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High School If a 3D object has 4 points. why use x,y,z to describe 3D?
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Graduate Positive Gauss Curvature Metric: Calculation & Analysis
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Graduate How Are Tensor Indices Ordered in Calculations?
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Graduate Why Use Odd Notation for Tensors in Linear Algebra?
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Graduate Rolling: is the instantaneous axis of rotation tangential?
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Graduate What are Fuzzy Manifolds and Their Role in Deformation?
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Graduate Laplacian on Riemannian manifolds
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Graduate Orientability of the Sphere: A Scientific Exploration
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Graduate What is the Definition of an Affine Hypersurface?
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Graduate Understanding Tensor Products: A Comprehensive Guide
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Graduate Can you describe the metric on the space of positive definite quadratic forms?
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Graduate Finding default unit vectors in 3D modelling
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Graduate Proving Constant Curvature in n-Dimensional Manifold
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Graduate Why Is an Apple Simply Connected but the Number 8 Multiply Connected?
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Graduate What is Euclid's Euclidean space?
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Graduate Determining Homology Groups of S^2 with a Morse Function
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Undergrad Calculate a for Triangle ABC & 45° Angle
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Graduate Basis + covariant derivative question
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Graduate Definition of Normal (Intersection) Without Using a Metric
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Graduate Calculate reconstructionmatrix for ART
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Graduate Proof of Four Vertex Theorem for Convex Figure | Do Carmo
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Graduate Why is this homology group is zero?
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Graduate Product of a finite complex and a point
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Graduate Reduced homology of sphere cross reals?
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Graduate Intersection Form With Coeffs. in Z/2
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Graduate Tangent vectors as linear functionals on F(M)
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Graduate Change in Homology from Change in Coefficients
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Graduate How to Insure a Rectangle Lies Inside a Polyhedron?
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Undergrad How did trigonometry come about?
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Graduate Calculate ellipse from 4 points?
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High School Calculating Minimum Number of Radio Towers for Complete 100 Mile Coverage
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Undergrad Probability Function of X: Solutions & Steps
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Graduate What makes Lie Groups a crucial theory in modern dynamics and beyond?
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Graduate Coordinate tranformations on an embedded surface of in 3 space
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Graduate Cartesian torque to Spherical Coordinates
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Graduate Does Z^n as the First Homology Group Imply R^n with Real Coefficients?
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Undergrad Curve Sketching, How to get the Function?
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Undergrad Will limit of discrete steps give Pythagoras theorem?
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Undergrad Why can finite elements handle complex geometries, but finite differences can't?
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High School Finding Relationship Between a & b: Geometry Question
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Graduate Structuring the graph of |x| so it is not a smooth manifold
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Graduate Can a Riemannian Manifold Allow the Existence of a Square Circle?
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Graduate Integration of differential forms
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Graduate Irreducible components of affine Variety
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Undergrad Tangent line parallel to a plane
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Graduate Which quantities are naturally forms, and which are (multi)vectors?
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Undergrad Finding Radius of 3 Congruent Tangential Circles in Larger Circle
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Graduate Spivak's notation re. tangent buldles (Diff. Geom. Vol. 1)
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Graduate Surjection Between Mapping Class Grp. and Symplectic Matrices
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Graduate Discrete quotient group from closed subgroup
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Undergrad Place of Analytic geometry in modern undergraduate curriculum
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Graduate Theorems every mathematician should know
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Undergrad Layperson asking about circle sides (Warning may not make sense)
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