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 What is the second fundamental form?
- the.bone
- · Replies 5 ·
Graduate Contracting (1,1) tensors and when (2,0) tensors can't be expressed as outer products
- Ratzinger
- · Replies 16 ·
Undergrad Euclidean and Non Euclidean Space?
- sepulshan
- · Replies 1 ·
Graduate Worked Problems in Modern Differential Geometry
- rick1138
- · Replies 2 ·
Graduate How Does Variation in the Metric Determinant Depend on Its Inverse?
- Themetricsystem
- · Replies 1 ·
Undergrad Equation of a Line in three space question
- thomasrules
- · Replies 9 ·
Graduate Definition of a smooth manifold.
- vanesch
- · Replies 27 ·
Graduate Connection between physics tensors and algebraic tensoring
- homology
- · Replies 7 ·
Graduate Relation between vector field and (n-1)-form for current density
- mma
- · Replies 6 ·
Graduate Unifying Curvatures with Riemann Tensor
- bchui
- · Replies 2 ·
Graduate Hypersurface equation from parametric form in VN
- Ed Quanta
- · Replies 1 ·
Graduate Can a Möbius Strip be embedded in R3 with zero Gaussian curvature?
- Ogai
- · Replies 8 ·
Graduate The Geometric Heat Equation-WTF?
- the.bone
- · Replies 3 ·
Graduate Geometry - Stereographic projection
- Pearce_09
- · Replies 2 ·
Graduate X.Calculating the Lie Derivative of a One-Form with Respect to a Vector Field
- rick1138
- · Replies 2 ·
Graduate How is topology applied in physics research?
- rushil
- · Replies 4 ·
Undergrad Tensor Basics: Understand Tensor or Learn from Websites
- pastadude
- · Replies 3 ·
Graduate What Sets Homeomorphic and Isotopic Knots Apart?
- ComputerGeek
- · Replies 4 ·
Graduate Explaining the Poincare conjecture in simple terms
- Ryan Lucas
- · Replies 3 ·
Graduate Alexander-Briggs notation for knot tables
- ComputerGeek
- · Replies 1 ·
Graduate Projective plane as quotient space of a sphere
- StatusX
- · Replies 8 ·
Graduate Deriving the Value of the Sum in {_\lim {i} \rightarrow 0}
- Werg22
- · Replies 5 ·
Graduate What are one-forms and why are they sometimes called covectors?
- Diophantus
- · Replies 5 ·
Graduate An extension of the concept of a tensor field
- Ruslan_Sharipov
- · Replies 2 ·
Graduate Orthogonal matrices as a manifold with tangent space
- 'AQF
- · Replies 3 ·
Graduate Proving Manifold Problems in R^4: X at a Point a
- 'AQF
- · Replies 3 ·
Graduate Is the neighborhood of each point on a surface always open?
- StatusX
- · Replies 1 ·
Graduate One-Form Property: Super-Commutativity vs Anti-Commutativity
- Diophantus
- · Replies 2 ·
Undergrad Resources for self-studying tensors and topology
- Limited
- · Replies 2 ·
Graduate Exterior differential of r³(cos(4θ)dr - r sin(4θ)dθ)
- Zurtex
- · Replies 4 ·
Graduate Transform Calc on S^3 to S^2: Maifold Calculus
- htaati
- · Replies 4 ·
Graduate Fourier transform integral in S^3 by a Hopf fibration to S^2
- htaati
- · Replies 3 ·
Graduate Why are tangent vectors defined as equivalence classes of paths through a point?
- homology
- · Replies 21 ·
Undergrad What r the prerequisites for studying diff geo?
- pavanakumar
- · Replies 2 ·
Graduate How Does Parametric Volume Calculation Work in Four-Dimensional Euclidean Space?
- Edwin
- · Replies 1 ·
Graduate Parallel Transport Around Triangle on Sphere: Angles Excess 180°
- Tzar
- · Replies 4 ·
Graduate How can i define Hook's Law interm of Tensor
- Rousha
- · Replies 5 ·
Graduate Atlas of Manifold: Is it Countable?
- Pietjuh
- · Replies 2 ·
Graduate How to show something is a tensor.
- Tzar
- · Replies 2 ·
Graduate How to deduce rot and div formulas under spherical or cylinderical coordinat
- Dale12
- · Replies 4 ·
Graduate How Does Tensor Algebra Apply in Quantum Field Theory?
- Spinny
- · Replies 4 ·
Graduate What does A_{[α}B_{β]} mean and how do you write TeX on the forum?
- bigplanet401
- · Replies 7 ·
Graduate Is Projective Geometry the Ultimate Form of Kleinian Geometry?
- Symbreak
- · Replies 1 ·
Graduate How can I find Va given Vo and angle A on a 3D sphere?
- Ed
- · Replies 2 ·
Graduate Parametrization of a Moebius Strip
- amcavoy
- · Replies 10 ·
Undergrad Good Texts for Independent Study
- TimNguyen
- · Replies 8 ·
Graduate Radius of curvature formula derivation
- chandran
- · Replies 2 ·
Undergrad Why Is \(\phi\) Defined Differently in Spherical Coordinates?
- bomba923
- · Replies 3 ·
Undergrad Find an Equation of Plane Through P (3,3,1) Perpendicular to Planes
- Giuseppe
- · Replies 1 ·
Graduate Classical proof of Riemann-Roch theorem via period matrices
- mathwonk
- · Replies 14 ·
Graduate Surface Area of an N-Dimensional Sphere
- fizixx
- · Replies 9 ·
Undergrad What is the meaning of the term 'surface term'?
- Ratzinger
- · Replies 11 ·
Graduate Topology Problem 1: Show A is Open in X - Munkres pg 83
- waht
- · Replies 6 ·
Graduate Can Mathematical Induction Prove the Finite Difference Formula for Polynomials?
- relinquished™
- · Replies 2 ·
Graduate Can a 'Good Surface' Be Found for Any Continuous Vector Field?
- HungryChemist
- · Replies 2 ·
Undergrad How can I solve a 3D coordinate problem involving rotation and a given point?
- pimanian
- · Replies 1 ·
Graduate Find A, B, C for ellipse tangent to x-axis at origin and through P(-1,2)
- kidia
- · Replies 5 ·
Undergrad Tensor analysis in curvilinear coordinates
- hbar314
- · Replies 2 ·
Graduate Deriving the Implicit Equation of a Rotated Spheroid
- InfernoSun
- · Replies 4 ·
Graduate Plane with four corner 3-D (x,y,z)
- laminatedevildoll
- · Replies 2 ·
Graduate Is an N-Sphere Just a Solid Ball or Something More?
- yourdadonapogostick
- · Replies 10 ·
Undergrad What is the difference between matrices and tensors?
- wintercarver
- · Replies 10 ·
Graduate Finding the projection outline of a rotated spheroid on the xy-plane
- InfernoSun
- · Replies 11 ·
Graduate Orientable Manifold with Boundary
- kakarukeys
- · Replies 27 ·
High School Why Doesn't My 2-Sphere Graph Correctly in GraphCalc?
- yourdadonapogostick
- · Replies 1 ·
Graduate Solving Linear Interpolation for 3-D Triangle Edges
- laminatedevildoll
- · Replies 1 ·
Graduate If a homeomorphism maps an open subspace of R^n to another, is the image open?
- kakarukeys
- · Replies 23 ·
Graduate Implementing a 3-Sphere Model for Molecular Dynamics Simulations
- quetzalcoatl9
- · Replies 2 ·
Graduate Funny definition of dimension of a topological space
- Don Aman
- · Replies 11 ·
Graduate Does the tensor product of inner product spaces have a natural inner product?
- Palindrom
- · Replies 10 ·
Undergrad Finding Slopes of Warped Plane: A,B,C,D,X
- laminatedevildoll
- · Replies 3 ·
Graduate Flat torus embedding in euclidean space?
- Highwind
- · Replies 13 ·
Graduate Are There Unique Surfaces in R^4 but Not in R^3?
- kleinwolf
- · Replies 27 ·
Graduate Does E_{ij,k} transform as a tensor when E_{ij} is antisymmetric?
- learningphysics
- · Replies 5 ·
Graduate How Does Covariant Derivative Relate to Curvature in Nonabelian Gauge Fields?
- wac03
- · Replies 5 ·
Graduate Vector parallel to our instantaneous direction of travel
- touqra
- · Replies 6 ·
Graduate Question regarding tensors derive acceleration in polar form
- learningphysics
- · Replies 2 ·
Undergrad Largest circle inscribed in f(x)=x^2 and f(x)=x^4 with bottom at origin
- Saint Medici
- · Replies 5 ·
Graduate Find Center of Sheared Cylinder (x, y, z, θ)
- isabella
- · Replies 1 ·
Undergrad Where is the Angle Theta Measured in a Cylinder's Surface Area?
- isabella
- · Replies 1 ·
Graduate Got the theorem, having trouble with the proof
- sambo
- · Replies 5 ·
Undergrad How to satisfy Laplace's equation ?
- hotel
- · Replies 6 ·
Graduate Gradient in cylindrical coordinates
- sid_galt
- · Replies 1 ·
Graduate Transitioning from aerospace engineering to physics graduate study
- sniffer
- · Replies 2 ·
Graduate Is the determinant function an open mapping from R^(n²) to R?
- kakarukeys
- · Replies 52 ·
Graduate Formula for non-linear differential forms
- kleinwolf
- · Replies 14 ·
Graduate Can a smooth transformation relate two surfaces with different metrics?
- Neitrino
- · Replies 3 ·
Graduate Finding the Centre of Mass and Toppling Point of a Spinning Top
- vic
- · Replies 4 ·
Graduate Differential Forms: What You'll Learn in Differential Geometry
- quasar987
- · Replies 8 ·
Graduate Good textbooks on Lie groups and manifolds with worked examples
- starfield
- · Replies 14 ·
Graduate Is the Given 4D Manifold Closed?
- kleinwolf
- · Replies 17 ·
Undergrad Minimum distance from point to line in 3D space
- .....
- · Replies 5 ·
Undergrad What is a tensor and why is it useful?
- relativitydude
- · Replies 3 ·
Graduate Is the Angle A'ô'B' Always 90 Degrees in a Special Case?
- Sabine
- · Replies 2 ·
High School The curmufrence and the volume of a sphere
- cubed
- · Replies 2 ·
Graduate Quick question on Einstein Notation
- Autodidact
- · Replies 6 ·
Undergrad Solving Tangent Equation at Point P: r(t) = (t, t^2, t^3)
- Beretta
- · Replies 6 ·
Graduate How Does Latitude Affect the Compass Angle of Sunrise?
- chroot
- · Replies 2 ·
Graduate Hodge Duals and the Interior Product
- Kane O'Donnell
- · Replies 20 ·
Graduate Is a homomorphism sending an element
- Lonewolf
- · Replies 5 ·