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 Lie derivative with respect to anything else
- jfy4
- · Replies 1 ·
Undergrad Solving implicit equation of a plane
- kouma
- · Replies 3 ·
Graduate Can somebody give me both, an intuitive and a formal definition of a metric?
- Casco
- · Replies 13 ·
Graduate Derivative of metric determinant with respect to metric tensor
- fishnchips
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Graduate Curvature form respect to principal connection
- Simon_G
- · Replies 1 ·
Graduate Geodesic flows on compact surfaces
- lavinia
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Graduate Inside Sphere: Does It Have Negative Curvature?
- feynmanisbest
- · Replies 3 ·
Graduate What is the maximum shortening of a string after tying an overhand knot?
- Loren Booda
- · Replies 3 ·
Undergrad Why do volume and surface area give different radii when coalescing 8 spheres?
- Goatsenator
- · Replies 5 ·
High School Understanding Tangents in Analytic Geometry
- ObsoleteBacon
- · Replies 2 ·
High School Good textbooks on conic sections with theory and problems
- khil_phys
- · Replies 2 ·
Graduate Pull-back of vectors at a SINGLE point
- ivl
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Graduate F is diffeomorphism implys df is injective?
- phyalan
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Graduate Why classify smooth structures up to diffeomorphism
- quasar987
- · Replies 19 ·
Graduate If every tangent line of a curve passes through a point, it is a line
- demonelite123
- · Replies 5 ·
Graduate What Shape Does a Catenary Shadow Form on a Cylinder?
- tasp77
- · Replies 3 ·
Graduate Understanding Tangent Space Basis: Proving Intuitively
- paluskar
- · Replies 5 ·
Graduate Infinite curve with two endpoints?
- SW VandeCarr
- · Replies 19 ·
Graduate Confusion on de Rham cohomology of manifolds
- kakarotyjn
- · Replies 9 ·
Graduate Calculating tangent spaces via curves.
- Kreizhn
- · Replies 1 ·
Graduate Is C^∞(M) infinite dimensional for a smooth manifold?
- seydunas
- · Replies 8 ·
Graduate Is the set of irrationals a complete metric space?
- Eynstone
- · Replies 6 ·
Undergrad How Many Distinct Shapes When Omitting Two Cubes from a 27-Cube Stack?
- addedline8
- · Replies 1 ·
Undergrad Proving collinearity in acute triangle altitude feet and reflection
- Vishalrox
- · Replies 1 ·
Help with geometrical proofs
- LiHJ
- · Replies 3 ·
Graduate What is the geometry of the pseudo sphere and what dimension does it exist in?
- neginf
- · Replies 8 ·
Graduate Diffeomorphism of a disk and a square?
- phyalan
- · Replies 6 ·
Graduate Isometric Immersion of the Torus
- felper
- · Replies 3 ·
Undergrad Checking that a parametric curve is general helix
- demonelite123
- · Replies 2 ·
Undergrad 2D Circle and rectangle intersection tests
- TannerB
- · Replies 4 ·
Projections in Geometry (Question)
- ObsoleteBacon
- · Replies 2 ·
Graduate Dividing two differentials gives a total derivative how?
- ArthurB
- · Replies 11 ·
Graduate Change of Coefficients in Homology and Individual Classes
- WWGD
- · Replies 16 ·
Undergrad Making curves going through given points
- VishwasG
- · Replies 1 ·
Undergrad Is an Equidistant Curve of an Ellipse Also an Ellipse?
- EebamXela
- · Replies 4 ·
High School Is the definition of a square a multiple choice question typo?
- bobsmith76
- · Replies 5 ·
Undergrad What is the value of perspective in number ?
- VishwasG
- · Replies 2 ·
High School Can a straight line segment have perpendicular bisectors?
- bobsmith76
- · Replies 2 ·
Graduate Geometric Interpretation of (lower) Cohomology?
- Bacle
- · Replies 5 ·
Graduate What is the regularity condition in the definition of a regular surface?
- drnickriviera
- · Replies 3 ·
Graduate What is Riemann's method for determining curvature in 3D spaces?
- quietrain
- · Replies 3 ·
Graduate Genus-g Surface and Retraction to Circle
- Bacle
- · Replies 21 ·
Undergrad How Does the Four Color Theorem Apply to Maps with Disconnected Regions?
- intelli
- · Replies 2 ·
Graduate Covariant vector differentiation problem with kronecker delta?
- randombill
- · Replies 7 ·
Graduate Finding inverse of linear mapping
- Somefantastik
- · Replies 3 ·
Graduate Constructing Explicit Deformation Retractions
- Anonymous217
- · Replies 2 ·
Graduate Intersection of Planes in R^3 and Dense Subsets of R^3
- WWGD
- · Replies 1 ·
Graduate Quick question - Christoffel Symbol Transformation Law
- osnarf
- · Replies 4 ·
Graduate Verify identity div(VV) = v·grad(V) for vector outer product
- Deathcrush
- · Replies 4 ·
Undergrad Find the coordinates of a point on a circle without knowing the center point.
- b1gd0g
- · Replies 2 ·
Graduate How to satisfy this identity (conformal model in geometric algebra)
- mnb96
- · Replies 1 ·
Graduate 2 questions on coholomogy groups
- kakarotyjn
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Graduate Pullback of dx ∧ dy in polar coordinates equals the substituted form?
- dragonlorder
- · Replies 8 ·
High School Circular/Spiral Game Board Question
- Zii
- · Replies 3 ·
Graduate Equation of a Plane in R^n , n>3
- WWGD
- · Replies 4 ·
Graduate Does this theorem have a name?
- techmologist
- · Replies 1 ·
Graduate What is a Differential Structure on a Manifold?
- LearningDG
- · Replies 8 ·
Undergrad Is every object symmetric about at least one axis?
- khotsofalang
- · Replies 5 ·
Graduate Are spinors related to the topology of Möbius strips?
- jfy4
- · Replies 1 ·
Graduate What Maps Induce Isomorphisms on Lower but Not Higher Homology Groups?
- Bacle
- · Replies 3 ·
Graduate Generators of a null hypersurface
- WannabeNewton
- · Replies 1 ·
Graduate Proof of Normal Vector Field for Hypersurface Sigma
- WannabeNewton
- · Replies 2 ·
Graduate Is Euclid's Postulate 5 really a postulate of parallels ?
- Alan1000
- · Replies 18 ·
Graduate Which Book Is Best for Learning Differential Geometry?
- AbhilashaEha
- · Replies 9 ·
Graduate Fitting an ellipse to a quadratic curve
- Unrest
- · Replies 18 ·
Graduate How Do Euclidian, Topological, Metric, and Vector Spaces Differ?
- mundo44
- · Replies 1 ·
Graduate Null-homotopic, Retracts: Review for Prelims.
- WWGD
- · Replies 2 ·
Graduate Finding the Degree of a Map on S^3 and its Homotopy with the Identity
- WWGD
- · Replies 2 ·
Undergrad How do you define the distance between two points in a non-flat 2-D space?
- gikiian
- · Replies 8 ·
Undergrad How Does Function f Transform in a New Coordinate System?
- sadegh4137
- · Replies 5 ·
Graduate Tangent vectors as equivalence classes of curves
- demonelite123
- · Replies 7 ·
Graduate Fine Topology on [0,1]: Equivalence to Euclidean Topology?
- attardnat
- · Replies 4 ·
Graduate What Are the Open Sets of U(N)?
- smallgun
- · Replies 2 ·
Graduate An detail in proving the homotopy invariance of homology
- kakarotyjn
- · Replies 3 ·
Undergrad What is a tensor and how does it relate to tensor products?
- lineintegral1
- · Replies 6 ·
Graduate From plane to hyperplane in high dimension
- uwowizard
- · Replies 2 ·
Graduate Divergence of left invariant vector field
- paweld
- · Replies 3 ·
Graduate Rotation matrix from vectors to cone
- barcerlona
- · Replies 2 ·
Graduate How does the intersection form change when changing coefficient rings?
- Bacle
- · Replies 4 ·
Graduate Generating Set for Mapping-Class Group of Genus-g Surface.
- Bacle
- · Replies 1 ·
Graduate Question- abstract index notation
- Savant13
- · Replies 5 ·
Graduate Is De Rham's first theorem applicable to non-compact manifolds?
- ivl
- · Replies 2 ·
High School Where Did the 4 in the 30-60-90 Triangle Calculation Come From?
- HenryKhais
- · Replies 1 ·
Graduate Using Jordan Curve Thm to Show H_n(R^n) Trivial?
- WWGD
- · Replies 9 ·
Graduate Funny Universal Cover: What is it?
- Jamma
- · Replies 4 ·
Graduate Def./Examples of Spin Structure Re Trivial Bundles?
- Bacle
- · Replies 9 ·
Graduate What Is the Group U(2) in the Context of Particle Physics?
- dimsun
- · Replies 7 ·
Graduate Homology of Disjoint Union: Formalizing the Result.
- Bacle
- · Replies 1 ·
Graduate Lie groups and non-vanishing vector fields
- NanakiXIII
- · Replies 4 ·
Graduate Solve Cubic Equations: Elliptic Curve in Weierstrass Normal Form
- Newtime
- · Replies 1 ·
Graduate How Do You Express the Variation of a General Metric Tensor?
- unchained1978
- · Replies 6 ·
Graduate Determining the Lie Algebra of a Vector Space
- math6
- · Replies 1 ·
Graduate Fractal geometry in Curtis LeMay's combat box formation
- bobschunk
- · Replies 24 ·
Undergrad Distance between a point on a sphere and a great circle arc
- Fredster
- · Replies 2 ·
Graduate What are some recommended resources for practicing problems on smooth manifolds?
- ForMyThunder
- · Replies 2 ·
Graduate Can Torsion of a Curve Be Generalized from 3D to 4D?
- TrickyDicky
- · Replies 5 ·
High School What Are Conic Sections and Why Do They Matter?
- quantizedzeus
- · Replies 4 ·
Undergrad What can rotation values imply on a sphere?
- matia
- · Replies 2 ·
Graduate Mapping Class Group of the Torus.
- Bacle
- · Replies 3 ·
Graduate Distance between a point and a triangular plane segment
- lemonCBI
- · Replies 1 ·