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 Changing coordinates mean changing one set of local coordinates
- Ratzinger
- · Replies 2 ·
Graduate Extension of Thurston's Geometrization Conjecture to four dimensions?
- straycat
- · Replies 2 ·
Graduate How do scientists make sophisticated calculations in general relativity?
- Starship
- · Replies 4 ·
Undergrad Pi and Curved Spaces - Is it Constant?
- DaveC426913
- · Replies 14 ·
Graduate Using surgeries to construct 4-manifolds of arbitrary topology
- straycat
- · Replies 2 ·
Graduate Understanding S^2 as the Quotient of SO(3) and SO(2)
- Lonewolf
- · Replies 2 ·
Graduate How Do Cartesian Components Transform into Cylindrical Coordinates?
- od7
- · Replies 5 ·
Graduate Question on the properties of a manifold
- majutsu
- · Replies 2 ·
Graduate What is the Vectorfield X(f) for a Function f(x,y,z)?
- carbis
- · Replies 2 ·
Graduate Solving Curvature Math Problems with Christoffel Symbols
- Feynman
- · Replies 8 ·
Undergrad What is a Tensor? Explained in Simple Terms
- Imo
- · Replies 13 ·
Graduate Proving Orthogonality of Planes and Lines in 3D Geometry
- gnome
- · Replies 32 ·
Graduate Extrinsic and Intrinsic Curvature
- quantumdude
- · Replies 8 ·
Graduate Writing tensors in a different way?
- Physicist
- · Replies 22 ·
Graduate Proof That An Infinite Dimensional Universe May Not Exist
- waht
- · Replies 4 ·
Graduate How to Find Functions for Constant Arc Length with Varying Amplitude and Period?
- JonF
- · Replies 3 ·
Graduate Moments of Inertia for a right circular solid cone of mass
- Claire84
- · Replies 4 ·
Graduate Is the Definition of a Topological Space Paradoxical?
- scott
- · Replies 33 ·
Graduate Cross product in higher dimensions?
- waht
- · Replies 4 ·
Graduate Is a manifold defined by the metric tensor?
- waht
- · Replies 8 ·
Graduate How many lines can intersect four lines in space?
- mathwonk
- · Replies 26 ·
Graduate Can Unbounded 3D Space Truly Exist?
- touqra
- · Replies 6 ·
High School Why does the surface area ratio of two spheres differ from their volume ratio?
- vikvon
- · Replies 2 ·
Graduate What do topologically stable maps mean?
- marlon
- · Replies 40 ·
Graduate Proving Triangle Area of Curve x^2-2y^2=4 Constant
- Nima
- · Replies 8 ·
Graduate Can Stereographic Projection from Unit Sphere to Plane be Proven as Injective?
- T-O7
- · Replies 2 ·
Undergrad Interior angles of a triangle on a spherical surface
- Reshma
- · Replies 3 ·
Graduate What are Lie groups?
- QuantumTheory
- · Replies 9 ·
Graduate Rank 2 covariant tensors and dimesionality
- SIlasX
- · Replies 2 ·
Looking for The Heat Equation Shrinking Convex Plane Curves by M.A. Grayson?
- adityatatu
- · Replies 2 ·
Graduate Spinor Decomposition of a tensor
- njoshi3
- · Replies 3 ·
Graduate The covariant derivative of a contravariant vector
- tennishaha
- · Replies 4 ·
Graduate Calculating Equation of Evolute for Catenary Curve
- T-O7
- · Replies 2 ·
Graduate Understanding Differential Geometry in Thermodynamics
- vincentchan
- · Replies 12 ·
Undergrad Differential Equations diameter of a spiral
- Goo_Gal1
- · Replies 2 ·
Graduate Closure of an open ball and separable space?
- adityatatu
- · Replies 6 ·
Graduate Spherical geometry, some simple things
- trancefishy
- · Replies 3 ·
High School Unravelling Surface Area of a Dome
- DaveC426913
- · Replies 2 ·
Graduate Solutions in differential forms
- shankarvn
- · Replies 4 ·
Graduate Why Doesn't Linearity of Integrals Apply to Differential Forms?
- eddo
- · Replies 2 ·
Undergrad How Do You Solve Sphere Inscription and Shadow Length Problems?
- Kobrakai
- · Replies 2 ·
Undergrad What is a tensor basically?
- abercrombiems02
- · Replies 68 ·
Graduate Supplemental textbook for homotopy and fundamental groups
- homology
- · Replies 3 ·
Undergrad What is the formula for finding the surface area of an inclined cone?
- Aphex_Twin
- · Replies 3 ·
Graduate Proving basic properties of Poisson brackets on symplectic manifolds
- sarason
- · Replies 3 ·
Undergrad Finding Cartesian Equations for Intersecting Planes and a Line
- Physics is Phun
- · Replies 5 ·
Graduate Corses on vector and principale bundles and spinorielle geometry
- Feynman
- · Replies 3 ·
Graduate Why is real projective space homeomorphic to S^n with antipodal points identified?
- Feynman
- · Replies 8 ·
Graduate Differential Geometry And Difference Geometry?
- adityatatu
- · Replies 2 ·
Undergrad I need to know how can i solve the following
- saudyonline
- · Replies 2 ·
Undergrad Double integral limits for volume under z = 3x inside cylinder x² + y² = 25
- logicalman
- · Replies 11 ·
Graduate Proof that grad V is a (1,1) tensor
- vladimir69
- · Replies 18 ·
Graduate Most efficient backgrounder on differential geometry ?
- lalbatros
- · Replies 3 ·
Graduate Visualization of contangent vector?
- arivero
- · Replies 10 ·
High School Sum of interior angle is NOT 180, or is 0 degree?
- furtivefelon
- · Replies 14 ·
Graduate Non-degenerate Poisson bracket and even-dimensional manifold
- lalbatros
- · Replies 2 ·
Graduate What Are Quotient Spaces and How Can We Visualize Equivalence Classes?
- shankarvn
- · Replies 4 ·
Graduate Tagent vector and vector field difference
- weio
- · Replies 6 ·
Graduate Klein bottles, Mobius strips and embedding surfaces in R4
- shankarvn
- · Replies 4 ·
Graduate Showing scalars are unchanged by rotation
- MathematicalPhysics
- · Replies 2 ·
Graduate What is the 2nd Fundamental Form and how does it relate to geometry in 3-space?
- Reality_Patrol
- · Replies 5 ·
Graduate Distance in hyperbolic geometry
- gravenewworld
- · Replies 2 ·
Graduate How to Cluster Lines in an Elliptic Mesh Generator Using Matlab?
- Clausius2
- · Replies 1 ·
Graduate Volume of a parallelepiped's sign
- quasar987
- · Replies 3 ·
Undergrad What's a good intro book for tensors and manifolds?
- galois427
- · Replies 18 ·
Graduate Where Can I Find Master's Level Courses in Differential Geometry?
- Feynman
- · Replies 2 ·
Undergrad Understanding Curves: f(x) = sin(x), g(x) = cos(x)
- Dr-NiKoN
- · Replies 2 ·
Graduate Is the Algebraic Structure of Vector Bundles Truly Just a Module Theory Analogy?
- Mike2
- · Replies 3 ·
Graduate How Do Lie Groups Influence Physics and Background Independence?
- marlon
- · Replies 14 ·
Graduate How do I prove that d^u(phi) is a contravariant 4-vector?
- poophead
- · Replies 7 ·
Graduate Directionality in Stokes Theorem for Volumes
- K.J.Healey
- · Replies 2 ·
Graduate What Are the Practical Applications of Differential Geometry Beyond Mathematics?
- Gonzolo
- · Replies 5 ·
Graduate What is the Significance of Diffeomorphism Invariance in Physics?
- Mike2
- · Replies 7 ·
Graduate Is learning Tensors necessary for understanding Special Relativity?
- Severian596
- · Replies 17 ·
Graduate What is the significance of the Christoffel symbol as a tensor?
- pmb_phy
- · Replies 20 ·
Graduate Understanding Intrinsic and Extrinsic Curvature: An Intuitive Explanation
- Gza
- · Replies 6 ·
Undergrad So what is the relationship between curves and circles?
- Mattius_
- · Replies 3 ·
Graduate Can two linked tori be unlinked with continuous deformations?
- adityatatu
- · Replies 2 ·
Graduate Finding Total Area of Intersecting Planes
- nash_81
- · Replies 5 ·
Undergrad What are some practical applications of tensors in physics and mathematics?
- rjhollingsworth
- · Replies 2 ·
Graduate How can I apply tensor to reality?
- Will_C
- · Replies 3 ·
Graduate What are differential forms and why are they important in physics?
- Sacroiliac
- · Replies 20 ·
Graduate Can a vector be described as a line between two points on a manifold?
- Mike2
- · Replies 7 ·
Graduate Hodge numbers of 2n-dimensional torus
- Paul Cook
- · Replies 2 ·
Graduate Tensor Product of Covariant and Contravariant Vectors
- meteor
- · Replies 5 ·
Graduate What Are the Best Books for Understanding Manifolds and Tensors?
- jby
- · Replies 5 ·
Graduate Can Planar Surfaces Form Knots in Four Dimensions?
- Loren Booda
- · Replies 3 ·
Undergrad Solving Tangent Plane and Perpendicular Plane at (1,1,1)
- brads
- · Replies 4 ·
Graduate Covariance of Differential Operators in Special Relativity
- selfAdjoint
- · Replies 2 ·
Undergrad Cube Question In Space Geometry
- xenogizmo
- · Replies 2 ·
Graduate Gauge groups and symmetries in general relativity and quantum gravity
- alexh110
- · Replies 3 ·
Graduate How Does Curvature Vary in Non-Euclidean Triangle Manifolds?
- Loren Booda
- · Replies 1 ·
Graduate Finding Tangent Vectors for Unit Normal (nx=ny=nz)
- lost1
- · Replies 1 ·
Undergrad Parallel lines and space curvature
- wildo69
- · Replies 5 ·
Graduate Tensors may be considered a special class
- Janitor
- · Replies 5 ·
Undergrad What are the uses and properties of a Surface Patch?
- adityatatu
- · Replies 2 ·
Graduate Some basic problems in Riemannian Geometry
- sambo
- · Replies 17 ·
Graduate How can we prove the covariant derivation of the Riemann-Christoffel tensor?
- Jinroh
- · Replies 2 ·
Graduate Where Can I Find a Proof for the Four Vertex Theorem?
- adityatatu
- · Replies 2 ·
Graduate Proofs of Equations Involving Metric Tensors and Christoffel Symbols
- Jinroh
- · Replies 3 ·