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 How is the Ricci Tensor Derived from the Ricci 1-Form?
- graupner1000
- · Replies 4 ·
Graduate Proving Theorem 51.3 in Munkres 2e Edition on Homotopy Paths
- valtz
- · Replies 1 ·
Undergrad Dot product (scalar product) of 2 vectors: ABcos[itex]\theta[/itex]
- LearninDaMath
- · Replies 3 ·
Undergrad Approximating polynomial curve intersections numerically
- hamsterman
- · Replies 14 ·
Undergrad How to find the radius of a circle by knowing two points and its arc length
- uyger
- · Replies 11 ·
Graduate Is the (n-1)th de Rham Cohomology of U\{x} Non-Zero?
- seydunas
- · Replies 1 ·
Finding a shape with labeled edges and unequal vertex degrees
- thematrixiam
- · Replies 5 ·
Graduate Where can I find a list of Christoffel symbols for calculation?
- genericusrnme
- · Replies 4 ·
Graduate Curvature as the source of a field on a two dimensional Riemannian manifold
- lavinia
- · Replies 2 ·
Undergrad The length of a line intersecting a rectangle - not just diagonal
- renucrew
- · Replies 6 ·
Graduate What do double subscripts like x_{α_i} mean in real analysis?
- IniquiTrance
- · Replies 1 ·
Undergrad Cutting Up Squares: Problem Solving Method
- 6.28318531
- · Replies 5 ·
Undergrad Why are stress and inertia tensors special compared to matrices?
- abercrombiems02
- · Replies 13 ·
Graduate Is T^{jk} = (1/√g)∂(√g B^{ijk})/∂x^i a tensor?
- zouzou0
- · Replies 2 ·
Graduate Finding the a vector using angles
- exmachina
- · Replies 3 ·
Graduate Determining Riemann surface geometry of algebraic functions
- jackmell
- · Replies 4 ·
Graduate Correspondence between vector fields and differential forms
- WWGD
- · Replies 17 ·
High School Does squeezing a pipe into an oval change its volume?
- turbojoe
- · Replies 2 ·
Undergrad Sphere/Atom packing - most efficient lattices?
- roberto85
- · Replies 2 ·
Graduate Statistical methods for detecting self-similarity in fractal data
- Vaal
- · Replies 2 ·
Undergrad Parametric equation for 3D circle that's off-axis
- rromanowski
- · Replies 1 ·
Graduate Is the Levi-Civita connection unique for a given manifold?
- meldraft
- · Replies 4 ·
Undergrad How Can Multiple Microphones Locate a Distant Sound Source?
- apepi
- · Replies 2 ·
Graduate Curvilinear coordinates from orbits
- mnb96
- · Replies 3 ·
Graduate Curl vs exterior derivative in spherical coords
- pellman
- · Replies 1 ·
Graduate Torus and sphere with positive or negative curvature
- JMD0128
- · Replies 7 ·
Graduate Sets intersection and the axiom of choice?
- Damidami
- · Replies 12 ·
Graduate Derivative of surface normal || tangent unit vector
- bennyzadir
- · Replies 9 ·
Graduate How to calculate the Euler class of a sphere bundle?
- kakarotyjn
- · Replies 6 ·
Graduate Surface generation from constant depth planar contours
- praviarun
- · Replies 1 ·
Graduate How is Every Prime z-Filter Contained in a Unique z-Ultrafilter in T_3 Space?
- chhan92
- · Replies 2 ·
Graduate When can one reduce the structure group?
- quasar987
- · Replies 8 ·
Graduate How does RP1 relate to the line at infinity in the extended complex half-plane?
- tut_einstein
- · Replies 1 ·
Graduate Symplectic but Not Complex Manifolds.
- Bacle2
- · Replies 3 ·
Graduate Differentiating a function on a manifold
- camel_jockey
- · Replies 20 ·
Graduate Covariant derivative of Lie-Bracket in normal orthonormal frame
- holy_toaster
- · Replies 9 ·
Graduate Applying exterior derivative twice to a vierbein field
- unchained1978
- · Replies 5 ·
Graduate Intersection number equals one iff tangent lines are distinct
- tommyj
- · Replies 1 ·
Graduate What is a realization of this surface in Euclidean space?
- lavinia
- · Replies 14 ·
Graduate Hi,I want to show that the set of boundary points on a manifold
- seydunas
- · Replies 19 ·
Graduate Pseudo-Riemannian tensor and Morse index
- Jimmy Snyder
- · Replies 3 ·
Graduate Problem with quaternion rotation maths
- bras0463
- · Replies 5 ·
Graduate Algebraic varieties in a minimal space
- disregardthat
- · Replies 6 ·
Graduate Riemannian surfaces as one dimensional complex manifolds
- TrickyDicky
- · Replies 156 ·
Graduate Minimum Radius Cylinder for Tangent Line-Contact with Cone
- gwiz
- · Replies 6 ·
Graduate Definition of tangent space on smooth manifolds
- Alesak
- · Replies 13 ·
Graduate Proof of expanding algebraic functions by Puiseux series
- jackmell
- · Replies 2 ·
Graduate Why must contravariant tensors contract with covariant tensors?
- Master J
- · Replies 2 ·
Graduate Minimum distance between a point and a bounded line in 3D
- DHeshMan
- · Replies 7 ·
Graduate Proving a compact n-manifold is a product of spheres
- chhan92
- · Replies 24 ·
Graduate Is a Tube Around a Manifold Always Orientable?
- lavinia
- · Replies 9 ·
Graduate Is there any good reference on Riemann Surface and Riemann Theta Function?
- yicong2011
- · Replies 2 ·
Graduate Is there a C^infty map that is one to one from R^n to R
- mathsq
- · Replies 5 ·
Graduate How to geometrically think of a covector field
- Hymne
- · Replies 12 ·
Graduate Show that Area form is independent of parameterization?
- phyalan
- · Replies 2 ·
Graduate The Euler class of the unit tangent bundle to S^2
- kakarotyjn
- · Replies 3 ·
Graduate What is the Genus of Riemann Surface?
- yicong2011
- · Replies 2 ·
Graduate Why the Gaussian curvature is extrinsic ?
- alecrimi
- · Replies 8 ·
Undergrad Find Point on Rect Inside Circle Given Angle
- Norpyx
- · Replies 3 ·
Graduate Transition function for the Möbius bundle over a circle
- seydunas
- · Replies 1 ·
Graduate How Is F_p/F^2_p Isomorphic to (T_p(M))^* in Smooth Manifolds?
- seydunas
- · Replies 3 ·
Graduate Extending a d-cohomology class to D-cocycle
- kakarotyjn
- · Replies 1 ·
Undergrad Transformations between spaces
- Curl
- · Replies 23 ·
Graduate A Geometric Approach to Differential Forms by David Bachman
- quantumdude
- · Replies 175 ·
Undergrad What is the length of segEF in the given triangle?
- Norpyx
- · Replies 1 ·
Undergrad How Can I Make an Object Revolve Around a Tilted Axis?
- cake21
- · Replies 2 ·
Graduate Should paths in fundamental group proofs be from x0 to x1, not loops?
- MathematicalPhysicist
- · Replies 1 ·
Graduate Best Dover Math Books for Mathematician
- chhan92
- · Replies 8 ·
Graduate Recomended differential topology books
- hedipaldi
- · Replies 6 ·
Graduate Generating tunnel vertices perpendicular to a 3D curve path
- Xcrypt
- · Replies 1 ·
Graduate Ordering Line Segments to form a 2D Polygon after slicing a 3D Tri Map
- nucloxylon
- · Replies 1 ·
Graduate HW Question, either professor is wrong or I am.
- Poopsilon
- · Replies 13 ·
Graduate What flows on a surface can be geodesic flows?
- lavinia
- · Replies 0 ·
Graduate Calculating the gaussian curvature of a surface
- demonelite123
- · Replies 1 ·
Graduate How Arbitrary Can Affine Connections Be on a Manifold Without a Metric?
- Matterwave
- · Replies 4 ·
Graduate Associating a Lie Algebra with a Lie Group
- Matterwave
- · Replies 13 ·
Graduate Shutz's derivation of the Lie Derivative of a vector field
- Matterwave
- · Replies 6 ·
High School How to define acos in relation to cos?
- Xcrypt
- · Replies 2 ·
Graduate What is the Characterization of a Function Whose Cube is Smooth?
- seydunas
- · Replies 7 ·
Graduate Onto continuous function from D^{2n} to ℂP^n one-to-one on the interior
- MathematicalPhysicist
- · Replies 4 ·
Graduate Proof of V-E+F=2-2p (Euler's 2nd formula).
- labinojha
- · Replies 4 ·
Graduate Confusion over the definition of Lie Derivative of a Vector Field
- slevvio
- · Replies 5 ·
Undergrad Question on 3 circles with changing values
- Jenna_B
- · Replies 4 ·
Graduate Is f_m Smooth When f Is a Smooth Map Between Manifolds?
- slevvio
- · Replies 2 ·
Graduate On transition functions of fiber bundle
- kakarotyjn
- · Replies 4 ·
Graduate Smooth Extension of Locally Defined Function on Manifold
- hedipaldi
- · Replies 4 ·
Undergrad Calculate Angles from Diameter for Lathe Arm
- rts453
- · Replies 3 ·
Graduate Prove Levi-Civita Symbol is Only 3D Isotropic Tensor
- kof9595995
- · Replies 6 ·
Graduate Is the Momentum-Energy Tensor Always Symmetric?
- physlad
- · Replies 3 ·
Graduate Proving paracompactness from partition of unity existence
- seydunas
- · Replies 2 ·
Graduate Alg. Geom. Regular function confusion
- Bleys
- · Replies 2 ·
Graduate Covariant derivative from connections
- lavinia
- · Replies 1 ·
High School Geometry Proof (Circles and Chords)
- Volux
- · Replies 2 ·
Graduate Questions on connections and covariant differentiation
- kakarotyjn
- · Replies 3 ·
Graduate Curvilinear coordinate systems and periodic coordinates
- mnb96
- · Replies 3 ·
Graduate Conformal transformations and Möbius transformations
- mnb96
- · Replies 7 ·
Graduate Introduction to Complex Simplices: Why We Need Them
- Hymne
- · Replies 6 ·
Graduate How to find the class in H^*(M)?
- kakarotyjn
- · Replies 2 ·
Graduate Can Invariants Uniquely Define Fractals?
- mnb96
- · Replies 12 ·
High School Simple Triangle/rectangle problem
- letmedanz
- · Replies 1 ·