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