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 Cross between helicoid, complex plane wave
- Spinnor
- · Replies 5 ·
Undergrad Where to Learn Involute Curve?
- askor
- · Replies 4 ·
Graduate Trouble understanding ##g^{jk}\Gamma^{i}{}_{jk}##
- shooride
- · Replies 4 ·
Graduate A general 2-form - Colley Chapter 8, Section 8.1
- Math Amateur
- · Replies 2 ·
Graduate Physical motivation for integrals over scalar field?
- Feynman's fan
- · Replies 2 ·
Graduate Simple/Basic Example on Wedge Products
- Math Amateur
- · Replies 5 ·
Graduate What is the mapping between the hyperriemann sphere and the complex plane?
- EinsteinKreuz
- · Replies 4 ·
Undergrad What is the smoothness condition in vector calculus derivatives?
- Hornbein
- · Replies 15 ·
Graduate More (VERY BASIC) Questions on Example on Wedge Products
- Math Amateur
- · Replies 2 ·
Graduate Covariant and contravariant basis vectors /Euclidean space
- meteo student
- · Replies 11 ·
Graduate Non-Euclidean geometry and the equivalence principle
- "Don't panic!"
- · Replies 11 ·
Graduate Notation in Ch. 10 of Nakahara
- Bballer152
- · Replies 9 ·
Graduate Is my understanding of the second-rank four-tensor correct?
- jack476
- · Replies 2 ·
Graduate Rotations in differential geometry
- meteo student
- · Replies 30 ·
Graduate Compute Translation, Rotation in SE(3) with Chasles Theorem
- hunt_mat
- · Replies 3 ·
Graduate Walk a 3-sphere w/Hopf Fibration: Parameterization
- Hornbein
- · Replies 2 ·
Graduate Curl of tensor * non-constant vector
- refind
- · Replies 1 ·
Graduate N-sphere as manifold without embedding
- JonnyG
- · Replies 26 ·
Graduate Unique smooth structure on Euclidean space
- JonnyG
- · Replies 13 ·
Graduate Envelope of a parametric family of functions
- Icaro Lorran
- · Replies 1 ·
Graduate Euler angles in latitude longitude space
- meteo student
- · Replies 1 ·
Undergrad Coordinate transformation from spherical to rectangular
- TheArun
- · Replies 14 ·
Graduate Troubleshooting N-Spherical Cap Area Formula
- olgerm
- · Replies 3 ·
Graduate Intersection of general plane with quadric surface
- swampwiz
- · Replies 1 ·
What are the practical applications of differential geometry?
- mathmari
- · Replies 3 ·
Graduate Non-Euclidean area defined by three points on a sphere
- 24forChromium
- · Replies 10 ·
Graduate Jet Prolongation Formulas for Lie Group Symmetries
- Twigg
- · Replies 7 ·
Graduate Spherical vectors and rotation of axes
- meteo student
- · Replies 2 ·
Graduate Quadratic Conformal Mapping with Parameters | QP
- benpaulthurston
- · Replies 4 ·
Graduate How do I use the geodesic equation for locations on earth
- NihalRi
- · Replies 14 ·
Graduate Followup: pi on curved surfaces
- DaveC426913
- · Replies 23 ·
Graduate Opposite "sides" of a surface - Differential Geometry.
- thehangedman
- · Replies 5 ·
Graduate Velocity in spherical polar coordinates
- meteo student
- · Replies 2 ·
Graduate Contravariant and covariant vectors
- Sonia AS
- · Replies 7 ·
Graduate A question about differential form
- 1591238460
- · Replies 8 ·
Graduate Two questions for vector bundles
- 1591238460
- · Replies 18 ·
Graduate Vector Rotation About Arbitrary Axis
- MD Aminuzzaman
- · Replies 8 ·
Graduate The restriction of differential form
- 1591238460
- · Replies 10 ·
Graduate How to Calculate Gauss Curvature from a Mesh Surface?
- Omega0
- · Replies 2 ·
Graduate Why is a conserved vector field a gradient of a certain func
- Za Kh
- · Replies 3 ·
Graduate Tangent spaces at different points on a manifold
- "Don't panic!"
- · Replies 63 ·
Graduate How Do Indices Affect Tensor Notation?
- spaghetti3451
- · Replies 7 ·
Graduate Calculating Volume of Arbitrary Cross-Section Triangles
- Cokemaster
- · Replies 17 ·
Graduate Differential Geometry page 193 Nakahara
- smallgirl
- · Replies 17 ·
Graduate Writing a general curve on a manifold given a metric
- wotanub
- · Replies 7 ·
Undergrad What is the radius of curvature formula for an ellipse at slope = 1?
- jjredfish
- · Replies 29 ·
Graduate Why phi component is not taken into account for vector R ?See attachment.
- Saurabh Sharma
- · Replies 2 ·
Graduate Engineering a body with an intrinsic curvature
- geordief
- · Replies 16 ·
Graduate Meaning of Curl from stokes' theorem
- Titan97
- · Replies 3 ·
Graduate Understanding Index Notation: Simplifying Tensor and Vector Equations
- nabber
- · Replies 8 ·
Graduate Transverse Vector: Definition & Meaning
- Harel
- · Replies 1 ·
Undergrad Is There a Mistake in the Hyperbolic Paraboloid Curve Demonstration?
- mohamed el teir
- · Replies 1 ·
Graduate Are Skew Lines Considered Perpendicular in 3D with Parallel Vectors?
- mohamed el teir
- · Replies 6 ·
Graduate Interpreting Curl in Vector Fields: ∇×v
- Titan97
- · Replies 1 ·
Graduate Meaning of isomorphism/diffeomorphism ## f: R^n\to M^m##
- shooride
- · Replies 36 ·
Graduate Calculating mixed partial derivatives on a 3D mesh
- KareemErgawy
- · Replies 6 ·
Graduate Geometrical meaning of Curl(Gradient(T))=0
- Titan97
- · Replies 3 ·
Graduate Coordinate transformation - NED and ECEF frames
- 9988776655
- · Replies 2 ·
Undergrad Given a vector, how to compute orthogonal plane
- MF2
- · Replies 4 ·
Graduate Finding the sine of the angle between 2 rays
- Matterwave
- · Replies 16 ·
Graduate Taylor expansion of the square of the distance function
- shooride
- · Replies 9 ·
Graduate Is x^2 + y^2 = 4R^2 a Cylinder or a Circle in 3D Space?
- whatisreality
- · Replies 8 ·
Graduate Is There a Solution to the Inconvenient Expression for Area and Element of Area?
- Bruno Tolentino
- · Replies 1 ·
Graduate ##x+y## on a Riemannian manifold
- shooride
- · Replies 22 ·
Graduate Geometry on a Sphere: Euclidean or Something Else?
- geordief
- · Replies 12 ·
Graduate Calculate the distance travelled in a moving circumference?
- pabilbado
- · Replies 4 ·
Graduate Ricci rotation coefficients and non-coordinate bases
- "Don't panic!"
- · Replies 10 ·
Graduate How Can I Simplify an Equation Involving Levi-Civita Tensors and Indices?
- PhyAmateur
- · Replies 8 ·
Graduate Manifolds: extrinsic and intrinsic
- shereen1
- · Replies 5 ·
Undergrad 3D object represent with primitive shapes
- shanky
- · Replies 5 ·
Graduate Riemannian Metric Tensor & Christoffel Symbols: Learn on R2
- shanky
- · Replies 7 ·
Graduate Types of Rotations - Hi Everybody, Ask Your Questions Here
- Adrian555
- · Replies 5 ·
Graduate Lie derivative of tensor field with respect to Lie bracket
- "Don't panic!"
- · Replies 4 ·
Graduate Curved surfaces that do not preserve area
- diegzumillo
- · Replies 11 ·
Graduate Angle and trig definitions in curved space
- newjerseyrunner
- · Replies 2 ·
Undergrad Help with David Bachman's A Geometric Approach to Differential Forms, 2nd Ed.
- nearc
- · Replies 5 ·
Graduate Difference between Manifolds and Non-Euclidean spaces
- mikeeey
- · Replies 9 ·
Graduate Vector fields transverse to the boundary of a manifold
- jford1906
- · Replies 6 ·
Graduate Proving K+U is constant with tensor notation.
- davidbenari
- · Replies 1 ·
Graduate Charting Manifolds: Tips & Techniques
- mikeeey
- · Replies 9 ·
Graduate Riemannin generalization of the Taylor expansion
- shooride
- · Replies 3 ·
Graduate How to relate the Ehresmann connection to connection 1-form?
- xXEhresmannXx
- · Replies 3 ·
Graduate Lie derivative of two left invariant vector fields
- konik13
- · Replies 3 ·
Graduate Logic behind definition of Reparametrization
- Raman Choudhary
- · Replies 2 ·
Graduate What are the Discret Subgroups of O(1,3)?
- Andre' Quanta
- · Replies 3 ·
Graduate Understanding fractional and higher dimensions
- PcumP_Ravenclaw
- · Replies 13 ·
Graduate Why is ##x = r \sin{\phi} \cos{\theta}## in spherical coordinates?
- PFuser1232
- · Replies 26 ·
Graduate Product of a symmetric and antisymmetric tensor
- stedwards
- · Replies 4 ·
Graduate Curvature implying Closedness in N dimensions
- jfizzix
- · Replies 4 ·
Graduate Finding Coefficients of Orthogonal Quadric Equations
- Bruno Tolentino
- · Replies 6 ·
Undergrad Drawing Curves with Conic Sections
- Bruno Tolentino
- · Replies 3 ·
Graduate Calculating the Solid Angle Subtended by a Disc: How to Find ω?
- brotherbobby
- · Replies 3 ·
Graduate How Do Tangents Differ Between y²=4ax and x²=4ay?
- fireflies
- · Replies 6 ·
Undergrad What type of coordinate system?
- shanepitts
- · Replies 1 ·
Graduate Are Global and Local Coordinate Charts Different in Differentiable Manifolds?
- mikeeey
- · Replies 16 ·
Graduate Why Does (\partial_{\mu}\phi)^2 Equal (\partial_{\mu}\phi)(\partial^{\mu}\phi)?
- noahcharris
- · Replies 3 ·
Undergrad Center of a irregular hexahedra given the vertices
- pyroknife
- · Replies 7 ·
Graduate Is This Contraction of a Tensor Allowed?
- Physicist97
- · Replies 4 ·
Graduate Can someone verify this definition for Weyl tensor?
- space-time
- · Replies 7 ·
Graduate Questions about the differential
- orion
- · Replies 32 ·