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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Undergrad Checking whether a curve is a parabola or not
- adelz
- · Replies 1 ·
Graduate Is the trace of a linear operator independent of orthonormal basis?
- homology
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Undergrad How Does a Sphere Intersect Each Coordinate Plane and Axis?
- Theansweris42
- · Replies 1 ·
Graduate Deriving the Witch of Agnesi Curve
- IvanCow
- · Replies 1 ·
High School Review High School level Geometry
- Durin
- · Replies 1 ·
Graduate Are Originless Coordinates Possible for Spherical Surfaces and Planes?
- AverageJoe
- · Replies 13 ·
Graduate Need a bit more information about second-order tensors
- Vectronix
- · Replies 1 ·
Graduate Gradient Tensor of a vector field
- stuxk
- · Replies 3 ·
Graduate Fiber bundles book with intuitive approach for geometric phase
- bobydbcn
- · Replies 15 ·
Graduate Understanding Open and Closed Sets in Topology
- sol66
- · Replies 1 ·
Graduate What's the questions asking me to show?
- andlook
- · Replies 1 ·
Graduate Any good problem book on General Topology
- huyichen
- · Replies 10 ·
Graduate Connected vs. Path Connected Sets
- lmedin02
- · Replies 6 ·
Graduate Closed/Open Transition Function Question
- Prologue
- · Replies 4 ·
Undergrad D-dimensional vs. n-dimensional ?
- dimensionless
- · Replies 1 ·
Graduate Projection of area onto a plane
- ptd-
- · Replies 5 ·
Graduate Proving properties of 3×3 orthogonal matrices and rotations
- nlews
- · Replies 6 ·
Graduate Fields and their relation to Tensors
- iamalexalright
- · Replies 2 ·
Graduate What does covariant derivative with upper index notation mean?
- salparadise
- · Replies 1 ·
High School Can a Pyramid's Lateral Edges Be Perpendicular to Its Base Edges?
- Oloria
- · Replies 9 ·
Graduate Can Singular Points Be Smoothly Transformed to Achieve Differentiability?
- SW VandeCarr
- · Replies 2 ·
Graduate Is there a continuous path in function space from f to g?
- madness
- · Replies 7 ·
Undergrad BrendanUnderstanding Topological Terms: Venn Diagrams and Examples
- beetle2
- · Replies 5 ·
Undergrad Projecting the Earth: A Diamond or Tetragon?
- k_squared
- · Replies 4 ·
Graduate Möbius transformations and SO(3)
- csopi
- · Replies 1 ·
Graduate Can the Ricci Tensor's Trace be Applied to Tensors?
- waht
- · Replies 7 ·
Graduate What Are Examples of Torsion in Homology?
- Physics Monkey
- · Replies 5 ·
Graduate How Does Knowing a Lie Algebra Inform Us About Its Corresponding Lie Group?
- paweld
- · Replies 1 ·
Undergrad Why does the distance formula use squares and square roots?
- krishna mohan
- · Replies 26 ·
Graduate Proving A and B connected when A∪B and A∩B are connected
- mathshelp
- · Replies 8 ·
Undergrad How do you calculate the angle between three points on a sphere?
- benk99nenm312
- · Replies 2 ·
Graduate Is GL2(R) an Open Subspace, Compact, or Connected?
- mathshelp
- · Replies 2 ·
Graduate Is there a function for d\theta on the circle?
- Lonewolf
- · Replies 3 ·
Graduate Homology and Homotopy groups from properties
- heras1985
- · Replies 4 ·
Graduate Homology groups from Homotopy groups
- wodhas
- · Replies 6 ·
Graduate Is There a Closed Surface in 3 Space That is Not Curved?
- hamsterman
- · Replies 5 ·
Graduate Are All Two-Dimensional Manifolds Conformally Flat?
- paweld
- · Replies 1 ·
Graduate Computing distances on a compactified line with Möbius transformations
- mnb96
- · Replies 3 ·
Graduate 3D space where circumfernce = 4*pi*R
- Spinnor
- · Replies 2 ·
Graduate Euler angles of rotation about x=y=z
- Null-Set
- · Replies 1 ·
Graduate Eccentricity of a compressed circular ring
- g0ggs123
- · Replies 1 ·
Graduate Complex curvilinear coordinates(?)
- mnb96
- · Replies 2 ·
Graduate Curvilinear coordinates question
- mnb96
- · Replies 4 ·
Graduate What is the method for finding the centers of circles in the Apollonian Packing?
- CornMuffin
- · Replies 1 ·
Graduate Poincaré-Hopf Theorem: Proving General Cases
- Jamma
- · Replies 16 ·
Graduate Proving Completeness of a function space
- vineethbs
- · Replies 1 ·
Graduate What structure must ℝⁿ have in a coordinate chart definition?
- Rasalhague
- · Replies 27 ·
Graduate Embedding manifolds that are not very flat.
- Spinnor
- · Replies 3 ·
Graduate Total and exterior derivative of a 1-form
- mma
- · Replies 3 ·
Graduate Compact Space Hausdorff Preservation
- fallgesetz
- · Replies 9 ·
Graduate Open set is countable union of disjoint open balls
- dreamtheater
- · Replies 2 ·
Graduate Topological Definition of Arc Length
- lugita15
- · Replies 1 ·
Graduate Geodesics in non-smooth manifolds
- mnb96
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Graduate Can a non-empty set have no limit points?
- xanadu
- · Replies 8 ·
Undergrad Sierpinski's Triangle: Does the Line Intersect the Midpoint?
- yyttr2
- · Replies 2 ·
Undergrad Finding the sides of a right spherical triangle
- lilcoley23@ho
- · Replies 4 ·
Graduate Does an N-Cube have Surface Area?
- dimensionless
- · Replies 10 ·
Undergrad Equation for cutting 2D pentagrams from sheet metal
- lookingdown
- · Replies 11 ·
High School Why is pi = circumference / diameter ?
- Juwane
- · Replies 11 ·
Graduate Closure of an abelian subgroup
- Jamma
- · Replies 2 ·
Undergrad Orthogonal projection of 2 points onto a plane
- Bozebo
- · Replies 5 ·
Undergrad List of index notation properties ?
- juliette sekx
- · Replies 3 ·
Undergrad Find the equation of the tangent of the parabola y^2= 4px
- callas
- · Replies 3 ·
Graduate Linear Independence of Sets in a Linear Space
- mrs.malfoy
- · Replies 2 ·
Graduate Finding Limit of Angle Theta in Unit Cube in R^n
- mrs.malfoy
- · Replies 1 ·
Graduate Which algebraic topology textbook is the best for self-study?
- hamster143
- · Replies 3 ·
Graduate How Do You Calculate the Length of a Curved Fibre in Composite Processes?
- jamie516
- · Replies 12 ·
Graduate What is the Factor of F in the Differential Forms Problem on Smooth Manifolds?
- Fredrik
- · Replies 4 ·
Why is it called a manifold?
- Goldbeetle
- · Replies 8 ·
Graduate Can a Klein Bottle be Constructed Using Rectangular Prisms and Circles?
- Anonymous217
- · Replies 4 ·
High School What Are the Best Books for Self-Learning Geometry?
- generic_
- · Replies 5 ·
Graduate Connectedness of the closed interval
- jojo12345
- · Replies 2 ·
Graduate Relationship between Chern and Levi-Civita Connections on Kahler Manifolds
- cogito²
- · Replies 1 ·
Graduate Angle between space-like and time-like vectors
- soley
- · Replies 4 ·
Graduate Relationship between cardinality and number of topologies on a set
- 3moonlight9
- · Replies 2 ·
Graduate The jacobian matrix of partial derivatives?
- andlook
- · Replies 2 ·
Graduate Best books for Differential Geometry?
- majutsu
- · Replies 24 ·
Undergrad Infinitesimal arc-length square
- andlook
- · Replies 3 ·
Graduate Helix Tracing Helical Trajectory
- stevenphy2
- · Replies 3 ·
Graduate Is an associated bundle isomorphic to the principal bundle?
- Fredrik
- · Replies 0 ·
Graduate Analytic equation of elliptic-like figure
- pslarsen
- · Replies 1 ·
Graduate Annoying principal bundle problem
- Fredrik
- · Replies 2 ·
Graduate Non-Symplectic Flows: Excluded Dynamics in Symplectic Mechanics
- mma
- · Replies 6 ·
Undergrad Trying to understand tensors and tensor notation
- fizixx
- · Replies 20 ·
Graduate Why Is the Fundamental Group of a Torus Described as Z+Z Instead of ZxZ?
- andlook
- · Replies 3 ·
Graduate Surface area of a truncated ellipsoid
- Murphy24
- · Replies 6 ·
Graduate Showing Regularity of X with Order Topology
- ~Death~
- · Replies 1 ·
Graduate Integration on chains in Spivak's calculus on manifolds
- quasar987
- · Replies 5 ·
Graduate Understanding Image of a Curve - Ask Luca
- pamparana
- · Replies 2 ·
Graduate Matrix Formalism of Differential Geometry
- thehangedman
- · Replies 3 ·
Graduate Do Orthogonal Transformation Matrices Imply Transpose Equals Inverse?
- Rasalhague
- · Replies 17 ·
Graduate How Is the Color Domain Used to Graph Complex Functions in Polar Coordinates?
- omer21
- · Replies 3 ·
Graduate Ascoli's theorem: A subspace F of C(X,R^n)
- symbol0
- · Replies 4 ·
Graduate Not every metric comes from a norm
- littleHilbert
- · Replies 4 ·
Graduate Is Path Connectedness Enough for Local Path Connectedness?
- jojo12345
- · Replies 2 ·
Graduate How Can Humanities Scholars Navigate the Complexities of Typology and Topology?
- dementedbear
- · Replies 9 ·
High School Alpha and theta represent the same known or unknown angle?
- tigerwoods99
- · Replies 2 ·
Graduate Why don't x_1 and x_2 generate the structure sheaf on affine 2-space?
- esisk
- · Replies 1 ·
Graduate Can the Fundamental Group of a Genus 2 Surface Embed That of a Genus 1 Surface?
- TopoGeoStuden
- · Replies 1 ·
Graduate What Does a Trivial Fundamental Group Indicate About Space X?
- andlook
- · Replies 1 ·