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.
Solving an irregular tetrahedron given 3 angles and 3 lengths
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Finding Unit Normal to Curve Defined by Parametric Equation
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Covariant derivative of a 1-form
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Covariant Derivative Commutation
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In a Right Triangle you have one angle - how do you find the other?
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Star Geometry: 10 Lobed Star Shape Described by Parametric Equation
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Second differential of a function
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Submanifolds vs Manifolds / Immersion vs Charts
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Non-coordinate basis for vector fields
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Surface and Volume of a cone without calculus
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Ray vs. Line: Equivalent Freedoms?
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Someone explain continuity principle
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Constructing a Solid Klein Bottle
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What Is the Best Interactive Model for a Topology-Themed Math Expo?
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Drawing 4, 5, 6, and 7 dimensional objects
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How are 1-forms related to infinitesimal displacements?
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Can someone draw a picture of this situation? I can't make sense of it
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Is a change of coordinates a diffeomorphism?
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Horizontal Lift vs Parallel Transport in Principal Bundle & Riemannian Geometry
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Understanding Dual Vectors in Fluid Mechanics: Purpose and Derivation Explained
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Computer simulation of geologic processes using multidimensional functions
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Can Metric Tensors Have Equal Determinants?
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Hello i'm new over here Hope i'm writing where it should be
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Connecting N points pairwise in volume V, average density of lines?
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Neighborhood Retract of Boundary
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Finding a parabolic equation with unknown variabilic constants?
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Metric of Manifold with Curled up Dimensions
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How Do Quaternion and Spinor Structures Impact the Geometry of Vector Spaces?
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How Do Imaginary Components Affect Vectors in a 2D Complex Vector Space?
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What Does Rotating a Circular Arc Create?
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Find radius if a circle is inscribed in quadrilateral
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Finding base number with Hausdorff Dimension Approximation methods?
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Projections from Tubular Neighborhoods
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How exactly to obtain Frenet Frame via Gram-Schmidt process?
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Asymptotes of hyperbolic sections of a given cone
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Simple Geometric Proof: Inscribed Triangle in a Circle of Diameter d
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Graphing an oblique circular cone.
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Infinitely long piece of string.
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What is the mathematical expression for fluid rotation in 3D?
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What different between covariant metric tensor and contravariant metric tensor
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Positioning Shape Inside of Ellipse
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How to generalize the fixed point iteration
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How to calculate the end point of a vector?
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The space between a unit 'sphere' in n dimensions within an n-dimensional cube
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Calculating Induced Metric on Vector Bundle E
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Mixed symmetry property and degrees of freedom
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How Do You Find the Angle Between a Moving Point and a Line in a Vector Space?
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Q about magnetic buckyballs and knots
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Is the Set BxB \ D in the Unit Disc Non-Contractible and Disconnected?
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It seems so simple, But what do I know?
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Where will you find mathematics of n spacial dimensions?
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P1 & P2 Path Partition: Same End Vertices Possible?
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Parsing the Fibers of Critical Values
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Nonregular icosahedral die approximating a bell curve
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Solving Linear Geometry for a 'projected intersection'
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Deriving the Christoffel Symbols
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I am not sure - a manifold is locally connected and has countable basis?
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Riemannian symmetric spaces and Lie algebras
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What Is the Difference Between Covariant and Contravariant Vectors?
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How Can a 3D Pipe Be Unwrapped into a 2D Topology?
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Commutator SO(3) - what am I doing wrong?
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Constructing Tangent Circles for an S-Shaped Design
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Composition of infinite deformation retracts
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How to Stretch an Elipse Made of Bezier Paths
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What is a co-variant derivative?
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Solving a 'skew' quadrilateral for vertex position.
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Why is the gradient of a function considered a one form in Schutz's book on GR?
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Calculate Position - Angle Difference of Arrival
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Evenly spaced points in oddly shaped volume?
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Understanding Minimal Surfaces: QFT Math Prerequisites
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Integer Cohomology of Real Infinite-Dimensional Grassmann Manifold
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Cat vs Mouse (bipartite graphs) - can mouse evade capture?
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Algebraic Topology - Retractions and Homomorpisms Induced by Inclusions
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Killing vectors for a given Kahler potential
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Algebraic Topology - Fundamental Group and the Homomorphism induced by h
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Calculating the Z2 cohomology of the Klein Bottle using intersections
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Is the Ratio of Circumference to Diameter Always Pi in Non-Euclidean Space?
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How does the proof of Sard's theorem utilize vector spaces and planes?
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Computing arc length in Poincare disk model of hyperbolic space
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Exterior algebra and n-dimensional volumes
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Is Every Element of n-Torus DeRham Cohomology Independent?
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What is the Klein Four-Group Geometry and Its Applications?
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How Can You Calculate the Center of Rotation in 3D Space?
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How Does a Vector Transform Across Different Charts on a Manifold?
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Why Does the Second Equality Hold in Multi-Linear Algebra?
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Is There Such a Thing as DeRham Homology?
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How Can I Understand the Geometrical Construction of Klein's Quartic?
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How Do You Define an Axis with Three Unit Vectors?
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Simplify Condition for Chord Length Equals Angle?
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Poincaré disk: metric and isometric action
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Second fundamental form of surface with diagonal metric
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Understanding Monodromy Map of a Covering Space: Can Anyone Help?
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Rao: Proposition 1.2.4. Superfluous section of proof?
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Distance of a point to an Ellipsoid
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Understanding the Lie Derivative of Tensors: A Step-by-Step Approach
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Deformation retraction of plane RP2
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What is the Definition of C1-Close Curve in Whitney Topology?
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Orthogonality of Absolute Derivative
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What's relation between factorial and tensor components.?
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Triangle Inequalities Relationship
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