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.
Undergrad How to calculate radius of curvature of beam?
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High School Conic sections: Can focal points be outside the ellipse?
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Graduate Relations between compactness and connectedness
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Graduate How does changing the metric on a manifold affect the shape of the manifold?
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Graduate Perimeter and surface area of skewed end semi cylinder
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Graduate Introduction to Tensor Calculus and Continuum Mechanics
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Graduate Relationships of hyperbolic Paraboloids
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Undergrad Why is the unit normal of a sphere important in vector calculations?
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Graduate Proving the contracted epsilon identity
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Graduate Distance from a point to a line defined in R^N
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Graduate Is any relation between curl and uniform shear available?
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Graduate Cartan's 1924 mystery formula differential Geometry
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Graduate Solve Gradient Squared: ((grad(f(x,y,z))))^2
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Graduate Understanding Nonlinear Exponential Maps for Vector Fields
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Graduate Is a Tesseract the only model we have for 4D?
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Graduate A tetrahedral expanded to a icosahedron
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Undergrad Finding Coplanar Vectors: r1v & r2v
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Graduate Solving an irregular tetrahedron given 3 angles and 3 lengths
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Graduate Finding Unit Normal to Curve Defined by Parametric Equation
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Graduate Covariant derivative of a 1-form
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Graduate Covariant Derivative Commutation
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High School In a Right Triangle you have one angle - how do you find the other?
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Graduate Star Geometry: 10 Lobed Star Shape Described by Parametric Equation
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Undergrad A circle tranforming into ellipse
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Graduate Second differential of a function
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Graduate Submanifolds vs Manifolds / Immersion vs Charts
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Graduate Non-coordinate basis for vector fields
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Undergrad Distance from a plane to the origin question
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Undergrad Surface and Volume of a cone without calculus
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Undergrad Ray vs. Line: Equivalent Freedoms?
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Undergrad Someone explain continuity principle
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Graduate Constructing a Solid Klein Bottle
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Undergrad 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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Graduate How are 1-forms related to infinitesimal displacements?
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Graduate Can someone draw a picture of this situation? I can't make sense of it
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Graduate Defining Right-Handed Coordinate Systems in Non-Orthogonal Bases
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Graduate Using the div-flux theorem (Gauss) to derive divergence in polar coördinates?
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Graduate Covariant/contravariant transform and metric tensor
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Graduate Is a change of coordinates a diffeomorphism?
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Graduate Horizontal Lift vs Parallel Transport in Principal Bundle & Riemannian Geometry
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Graduate Understanding Dual Vectors in Fluid Mechanics: Purpose and Derivation Explained
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Undergrad Convert parametric equation into f(x,y,z)
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Graduate Computer simulation of geologic processes using multidimensional functions
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Graduate Can Metric Tensors Have Equal Determinants?
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Undergrad Hello i'm new over here Hope i'm writing where it should be
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Graduate Connecting N points pairwise in volume V, average density of lines?
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Graduate Neighborhood Retract of Boundary
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Undergrad Finding a parabolic equation with unknown variabilic constants?
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Graduate Metric of Manifold with Curled up Dimensions
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Graduate How Do Quaternion and Spinor Structures Impact the Geometry of Vector Spaces?
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Graduate Trying to Understand Generalized Coordinates
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Graduate How Do Imaginary Components Affect Vectors in a 2D Complex Vector Space?
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Undergrad What Does Rotating a Circular Arc Create?
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High School Find radius if a circle is inscribed in quadrilateral
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Graduate Finding base number with Hausdorff Dimension Approximation methods?
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Graduate Projections from Tubular Neighborhoods
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Graduate How exactly to obtain Frenet Frame via Gram-Schmidt process?
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Graduate Asymptotes of hyperbolic sections of a given cone
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Undergrad Simple Geometric Proof: Inscribed Triangle in a Circle of Diameter d
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Undergrad Question about parametrization and number of free variables
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Undergrad Graphing an oblique circular cone.
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Graduate Infinitely long piece of string.
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Graduate What is the mathematical expression for fluid rotation in 3D?
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Graduate Is There a Paradox in the Equation for Oblate Spheroids?
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Undergrad Isoparametric Curve: Definition & Meaning
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Graduate What different between covariant metric tensor and contravariant metric tensor
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Undergrad Positioning Shape Inside of Ellipse
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Graduate Principal curvature used in a contact problem
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Graduate How to generalize the fixed point iteration
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High School How to calculate the end point of a vector?
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Graduate The space between a unit 'sphere' in n dimensions within an n-dimensional cube
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Graduate Calculating Induced Metric on Vector Bundle E
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Graduate Mixed symmetry property and degrees of freedom
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Graduate How Do You Find the Angle Between a Moving Point and a Line in a Vector Space?
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Graduate Q about magnetic buckyballs and knots
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Graduate Is the Set BxB \ D in the Unit Disc Non-Contractible and Disconnected?
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Graduate What are the formal operations of tensors and their applications?
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High School It seems so simple, But what do I know?
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Undergrad Where will you find mathematics of n spacial dimensions?
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Graduate Lawn Mower Curvature: Calculating & Applications
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Graduate Circle-Sphere 3D Intersection Points
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Undergrad P1 & P2 Path Partition: Same End Vertices Possible?
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Graduate Parsing the Fibers of Critical Values
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Graduate Nonregular icosahedral die approximating a bell curve
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Graduate Solving Linear Geometry for a 'projected intersection'
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Undergrad Curvature of Catmullrom spline
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Graduate Deriving the Christoffel Symbols
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Graduate I am not sure - a manifold is locally connected and has countable basis?
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Graduate Riemannian symmetric spaces and Lie algebras
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Graduate What Is the Difference Between Covariant and Contravariant Vectors?
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Undergrad How Can a 3D Pipe Be Unwrapped into a 2D Topology?
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Graduate The divergence operator in a rotated reference frame
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Graduate Commutator SO(3) - what am I doing wrong?
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Undergrad Constructing Tangent Circles for an S-Shaped Design
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Graduate Composition of infinite deformation retracts
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Undergrad How to Stretch an Elipse Made of Bezier Paths
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Graduate What is a co-variant derivative?
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Graduate Solving a 'skew' quadrilateral for vertex position.
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Graduate Why is the gradient of a function considered a one form in Schutz's book on GR?
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