Join experts in discussing differential geometry topics. This includes manifolds, Tensors and forms. Connections and curvature also. Differential and algebraic topology discussion.
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Graduate Is the sphere S a manifold when mapped from R²?
- saminator910
- · Replies 24 ·
High School Crazy orientation of solid oblong
- julian
- · Replies 3 ·
Undergrad Rotating a 3D shape to align one face parallel to another
- sparkzbarca
- · Replies 1 ·
Undergrad How to calculate radius of curvature of beam?
- Aeroslicer821
- · Replies 1 ·
High School Conic sections: Can focal points be outside the ellipse?
- Bipolarity
- · Replies 4 ·
Graduate Relations between compactness and connectedness
- soTo
- · Replies 3 ·
Graduate How does changing the metric on a manifold affect the shape of the manifold?
- meldraft
- · Replies 8 ·
Graduate Perimeter and surface area of skewed end semi cylinder
- smstoankur
- · Replies 3 ·
Graduate Introduction to Tensor Calculus and Continuum Mechanics
- Astronuc
- · Replies 17 ·
Graduate Relationships of hyperbolic Paraboloids
- johnkubik
- · Replies 4 ·
Undergrad Why is the unit normal of a sphere important in vector calculations?
- Hypersquare
- · Replies 7 ·
Graduate Proving the contracted epsilon identity
- demonelite123
- · Replies 2 ·
Graduate Distance from a point to a line defined in R^N
- heymaniknowyou
- · Replies 7 ·
Graduate Is any relation between curl and uniform shear available?
- Paulibus
- · Replies 10 ·
Graduate Cartan's formula relating Riemann curvature to bivectors
- zn5252
- · Replies 1 ·
Graduate How do you compute the square of a gradient vector?
- quantumfoam
- · Replies 17 ·
Graduate Understanding Nonlinear Exponential Maps for Vector Fields
- geoduck
- · Replies 5 ·
Graduate Is a Tesseract the only model we have for 4D?
- JamieLT
- · Replies 14 ·
Graduate A tetrahedral expanded to a icosahedron
- Alfi
- · Replies 1 ·
Undergrad How do I test if two vectors are coplanar?
- Philosophaie
- · Replies 2 ·
Graduate Solving an irregular tetrahedron given 3 angles and 3 lengths
- murrdpirate0
- · Replies 15 ·
Graduate Finding Unit Normal to Curve Defined by Parametric Equation
- nawidgc
- · Replies 1 ·
Graduate Covariant derivative of a 1-form
- semigroups
- · Replies 3 ·
Graduate Covariant Derivative Commutation
- PLuz
- · Replies 2 ·
High School In a Right Triangle you have one angle - how do you find the other?
- Philosophaie
- · Replies 2 ·
Graduate Star Geometry: 10 Lobed Star Shape Described by Parametric Equation
- nawidgc
- · Replies 6 ·
Undergrad A circle tranforming into ellipse
- vin300
- · Replies 3 ·
Graduate Second differential of a function
- conquest
- · Replies 2 ·
Graduate Submanifolds vs Manifolds / Immersion vs Charts
- Trifis
- · Replies 4 ·
Graduate Non-coordinate basis for vector fields
- Kontilera
- · Replies 5 ·
Undergrad Distance from a plane to the origin question
- MartinBob
- · Replies 10 ·
Undergrad Surface and Volume of a cone without calculus
- Bipolarity
- · Replies 5 ·
Undergrad Do rays and lines offer equivalent total freedoms?
- Faradave
- · Replies 13 ·
Undergrad Someone explain continuity principle
- scout6686
- · Replies 6 ·
Graduate Constructing a Solid Klein Bottle
- lavinia
- · Replies 3 ·
Undergrad What Is the Best Interactive Model for a Topology-Themed Math Expo?
- girishpaiv
- · Replies 1 ·
Drawing 4, 5, 6, and 7 dimensional objects
- Eugene381
- · Replies 3 ·
Graduate How are 1-forms related to infinitesimal displacements?
- pellman
- · Replies 7 ·
Graduate Can someone draw a picture of this situation? I can't make sense of it
- ThereIam
- · Replies 1 ·
Graduate Right-handed coordinate systems in non-orthogonal bases
- 1MileCrash
- · Replies 5 ·
Graduate Using the div-flux theorem (Gauss) to derive divergence in polar coördinates?
- nonequilibrium
- · Replies 1 ·
Graduate Covariant/contravariant transform and metric tensor
- nigelscott
- · Replies 8 ·
Graduate Is a change of coordinates a diffeomorphism?
- mnb96
- · Replies 7 ·
Graduate Horizontal lift and parallel transport in the tangent bundle of S2
- LargeDeviant
- · Replies 3 ·
Graduate What is a dual vector and why use it in fluid mechanics?
- Aero51
- · Replies 9 ·
Undergrad Convert parametric equation into f(x,y,z)
- meiskam
- · Replies 7 ·
Graduate Computer simulation of geologic processes using multidimensional functions
- GPundergrad
- · Replies 6 ·
Graduate Can Metric Tensors Have Equal Determinants?
- PLuz
- · Replies 7 ·
Undergrad Hello i'm new over here Hope i'm writing where it should be
- abel_ghita
- · Replies 5 ·
Graduate Connecting N points pairwise in volume V, average density of lines?
- Spinnor
- · Replies 2 ·
Graduate Neighborhood Retract of Boundary
- jgens
- · Replies 2 ·
Undergrad Finding a parabolic equation with unknown variabilic constants?
- AtlasSniperma
- · Replies 2 ·
Graduate Metric of Manifold with Curled up Dimensions
- Markus Hanke
- · Replies 3 ·
Graduate How Do Quaternion and Spinor Structures Impact the Geometry of Vector Spaces?
- GcSanchez05
- · Replies 1 ·
Graduate Trying to Understand Generalized Coordinates
- Vorde
- · Replies 5 ·
Graduate How Do Imaginary Components Affect Vectors in a 2D Complex Vector Space?
- weetabixharry
- · Replies 25 ·
Undergrad What Does Rotating a Circular Arc Create?
- murrdpirate0
- · Replies 2 ·
High School Find radius if a circle is inscribed in quadrilateral
- amitdixit
- · Replies 2 ·
Graduate Finding base number with Hausdorff Dimension Approximation methods?
- sammyooba
- · Replies 1 ·
Graduate Projections from Tubular Neighborhoods
- Goklayeh
- · Replies 1 ·
Graduate How exactly to obtain Frenet Frame via Gram-Schmidt process?
- weetabixharry
- · Replies 7 ·
Graduate Asymptotes of hyperbolic sections of a given cone
- imurme8
- · Replies 2 ·
Undergrad Simple Geometric Proof: Inscribed Triangle in a Circle of Diameter d
- prane
- · Replies 8 ·
Undergrad Why do parametric equations with two free variables create surfaces?
- coolbeans777
- · Replies 2 ·
Undergrad Graphing an oblique circular cone.
- Ostsol
- · Replies 1 ·
Graduate Infinitely long piece of string.
- QuantumHop
- · Replies 10 ·
Graduate What is the mathematical expression for fluid rotation in 3D?
- ImaLooser
- · Replies 4 ·
Graduate Is There a Paradox in the Equation for Oblate Spheroids?
- ianyappy
- · Replies 2 ·
Undergrad What does isoparametric curve mean mathematically?
- marellasunny
- · Replies 1 ·
Graduate What different between covariant metric tensor and contravariant metric tensor
- HeilPhysicsPhysics
- · Replies 3 ·
Undergrad Positioning Shape Inside of Ellipse
- MaTHFRo
- · Replies 3 ·
Graduate Principal curvature used in a contact problem
- MechEng2010
- · Replies 4 ·
Graduate How to generalize the fixed point iteration
- Charles49
- · Replies 3 ·
High School How to calculate the end point of a vector?
- Morgoth
- · Replies 7 ·
Graduate The space between a unit 'sphere' in n dimensions within an n-dimensional cube
- prane
- · Replies 11 ·
Graduate Calculating Induced Metric on Vector Bundle E
- math6
- · Replies 1 ·
Graduate Mixed symmetry property and degrees of freedom
- sourena
- · Replies 3 ·
Graduate How Do You Find the Angle Between a Moving Point and a Line in a Vector Space?
- ImaLooser
- · Replies 3 ·
Graduate Q about magnetic buckyballs and knots
- DeadWolfe
- · Replies 1 ·
Graduate Is the Set BxB \ D in the Unit Disc Non-Contractible and Disconnected?
- Goklayeh
- · Replies 2 ·
Graduate What are the formal operations of tensors and their applications?
- GarageDweller
- · Replies 2 ·
High School It seems so simple, But what do I know?
- justin_jkj
- · Replies 3 ·
Undergrad Where will you find mathematics of n spacial dimensions?
- coeilsmicah
- · Replies 3 ·
Graduate Lawn mower curvature and its relation to total curvature
- Keid
- · Replies 1 ·
Graduate Circle-Sphere 3D Intersection Points
- wb24
- · Replies 6 ·
Undergrad Can two paths in a path partition share the same end vertices?
- kimkibun
- · Replies 2 ·
Graduate Parsing the Fibers of Critical Values
- WWGD
- · Replies 0 ·
Graduate Nonregular icosahedral die approximating a bell curve
- diceman
- · Replies 2 ·
Graduate Solving Linear Geometry for a 'projected intersection'
- athuss
- · Replies 1 ·
Undergrad Curvature of Catmullrom spline
- gingaz
- · Replies 3 ·
Graduate Deriving the Christoffel Symbols
- cpsinkule
- · Replies 7 ·
Graduate I am not sure - a manifold is locally connected and has countable basis?
- mahmoud2011
- · Replies 2 ·
Graduate Riemannian symmetric spaces and Lie algebras
- TrickyDicky
- · Replies 5 ·
Graduate What Is the Difference Between Covariant and Contravariant Vectors?
- codeman_nz
- · Replies 1 ·
Undergrad How Can a 3D Pipe Be Unwrapped into a 2D Topology?
- kyze
- · Replies 3 ·
Graduate The divergence operator in a rotated reference frame
- nonequilibrium
- · Replies 7 ·
Graduate Why does commuting orthogonal SO(3) rotations give zero determinant?
- BWV
- · Replies 2 ·
Undergrad Constructing Tangent Circles for an S-Shaped Design
- Maria_arch
- · Replies 32 ·
Graduate Composition of infinite deformation retracts
- finsly
- · Replies 4 ·
Undergrad How to Stretch an Elipse Made of Bezier Paths
- MaTHFRo
- · Replies 6 ·