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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High School How can a curve be one dimensional?
- rollcast
- · Replies 26 ·
Graduate How to show that a locally diffeomorphic mapping from R to R is open?
- Relative0
- · Replies 3 ·
Graduate What do n and m represent in tensor notation?
- subsonicman
- · Replies 2 ·
Graduate Transformation of Vectors Confusion
- Opus_723
- · Replies 1 ·
Graduate Divergence of tensor times vector
- Runner 1
- · Replies 5 ·
The equation of a hyperbolic paraboloid to derive the corner points of rectangle
- bugatti79
- · Replies 9 ·
Graduate Do Manifolds have distance relations between points?
- me1pg
- · Replies 7 ·
Graduate Can unquantized fields be considered smooth curved abstract manifolds?
- Spinnor
- · Replies 4 ·
Graduate What is the area of intersection between two adjacent spherical caps?
- morjo
- · Replies 2 ·
Graduate Where can I find information on S^3?
- RicciFlow
- · Replies 4 ·
Graduate Can Christoffel symbols vanish at a point in suitable coordinates?
- raopeng
- · Replies 2 ·
Graduate Orthonormal basis vectors for polar coordinate system
- V0ODO0CH1LD
- · Replies 9 ·
Graduate Divergence of product of tensor and vector
- praban
- · Replies 18 ·
Graduate Is the Spin Connection Problem Affecting My Derivation of the Dirac Equation?
- pleasehelpmeno
- · Replies 8 ·
Graduate Can a surface-dwelling creature measure the metric only up to a scaling factor?
- quasar987
- · Replies 8 ·
Undergrad Geometry Problem involving packing Hexagons into Circles
- chriscots
- · Replies 1 ·
Graduate No metric on S^2 having curvature bounded above or below by 0
- Relative0
- · Replies 9 ·
Joko's question at Yahoo Answers (r(t) perpendicular to r'(t))
- Fernando Revilla
- · Replies 1 ·
Graduate Contracting Tensors: Multiply by g^αρgασ?
- pleasehelpmeno
- · Replies 3 ·
Graduate Vectors in curvilinear coordinate systems
- ShayanJ
- · Replies 12 ·
Graduate What Is the Maximum Value of x for Points on a Plane and Sphere in 3D Geometry?
- jingu
- · Replies 11 ·
Graduate Can the Relationship Between Levi-Civita Tensor and Kronecker Symbol Be Proven?
- raopeng
- · Replies 2 ·
Graduate How Do You Calculate g(W,W) Using the Given Metric?
- MathematicalPhysicist
- · Replies 3 ·
Undergrad What Type of Curve Uses Sequential Control Points from A0 to A6?
- mymachine
- · Replies 2 ·
Graduate What Does Locally Euclidean Mean in the Context of Manifolds?
- friend
- · Replies 25 ·
Graduate Can a 4-Sphere Have a Circumference?
- liometopum
- · Replies 3 ·
Graduate How can a cubic Bezier curve be constructed to have a tangent to a circle?
- mymachine
- · Replies 2 ·
Graduate Continuity of the Bezier Curve, Question
- mymachine
- · Replies 2 ·
Graduate What Defines the Components of a 2-form?
- center o bass
- · Replies 2 ·
Wizard1's question at Yahoo Answers (Isometry)
- Fernando Revilla
- · Replies 1 ·
Graduate Can You Recall the Formula for Finding the Area of a Spherical Patch?
- Curl
- · Replies 3 ·
Graduate Why Must the Image of U Be Open in \(\mathbf{R}^n\)?
- dEdt
- · Replies 6 ·
Undergrad How can I find the angle of a curve in a shape with a given length and radius?
- uperkurk
- · Replies 4 ·
Undergrad Laws of area and conservation of momentum
- almo
- · Replies 3 ·
Bebe's question at Yahoo Answers (Curv. and torsion)
- Fernando Revilla
- · Replies 1 ·
Graduate How is the Chain Rule Applied in Geometric Tangent Vectors?
- BrainHurts
- · Replies 1 ·
Graduate Using Tensor Notations and Levi Civita Symbol to Prove Lagrange's Identity
- advphys
- · Replies 4 ·
Graduate Show that ∇×v is perpendicular to v when v=ψ∇β
- advphys
- · Replies 3 ·
Graduate When can a conservative field fail to be irrotational?
- TrickyDicky
- · Replies 28 ·
Undergrad Formulation of the Complex Plane
- IxRxPhysicist
- · Replies 3 ·
Graduate Properties of Differentials, Smooth Manifolds.
- BrainHurts
- · Replies 1 ·
Graduate Is It More Precise to Define Manifolds as Topological Vector Spaces?
- TrickyDicky
- · Replies 42 ·
Graduate Derivative of a curve traversed in the opposite direction
- Kreizhn
- · Replies 2 ·
Mr.Ask's question at Yahoo Answers (curvature)
- Fernando Revilla
- · Replies 1 ·
Why 1/998001 lists every 3-digit number except 998
- Jameson
- · Replies 5 ·
Graduate Understanding Manifolds and Riemann Manifolds: Applications and Explanation
- umerfarooque
- · Replies 8 ·
Graduate What is an "induced map"? Is it a Quotient Map?
- dumbQuestion
- · Replies 4 ·
Graduate Can a Set of Sections Globally Generate a Vector Bundle?
- math6
- · Replies 7 ·
Graduate Sphere is the object that has the minimal area for a fix volume, proof
- andonrangelov
- · Replies 3 ·
Henry's question at Yahoo Answers concerning a surface of revolution
- MarkFL
- · Replies 2 ·
Graduate Integral of mean curvature function
- neelakash
- · Replies 3 ·
Graduate Elementary Differential Forms Question
- mindarson
- · Replies 5 ·
Graduate Geometric meaning of differential forms as projections
- mindarson
- · Replies 2 ·
Graduate Equivariant Homotopy: M & N Manifolds, G-Action & Cohomology Rings
- Kreizhn
- · Replies 4 ·
Graduate Are the axioms of a norm different from those of a metric?
- Bachelier
- · Replies 8 ·
Graduate Divergence theorem question on hyperplanes
- WannabeNewton
- · Replies 1 ·
Graduate A rather difficult problem: deltoid inscribed into an ellipse
- lemma28
- · Replies 1 ·
Graduate Can Intersecting Planes Be Represented by a New Form of 3D Angles?
- fromage
- · Replies 4 ·
Graduate Differentisl geometry internal contraction
- pleasehelpmeno
- · Replies 1 ·
David's question at Yahoo Answers (horizontal tangente plane).
- Fernando Revilla
- · Replies 2 ·
Graduate Bochner-Weitzenbock formula (-> Laplacian)
- Sajet
- · Replies 3 ·
Graduate Diffeomorphisms, Differential Structure, ETC.
- friend
- · Replies 17 ·
Graduate Unit of Four Dimensional Space Measurement?
- Joshuame13
- · Replies 3 ·
High School What are the key differences between Euclidean and plane geometry?
- yungman
- · Replies 8 ·
Undergrad Why do we need θ and φ in spherical coordinates if r alone specifies distance?
- Opus_723
- · Replies 7 ·
Graduate Proof by Induction: Closure of Union = Union of Closures
- Bachelier
- · Replies 4 ·
Undergrad Equation of an ellipse and tangents
- Kartik.
- · Replies 1 ·
Graduate How Can the Laplacian Relate to Einstein Manifolds?
- Messenger
- · Replies 9 ·
Graduate Is a cone the degenerate of a 4 dimensional hyperbola?
- JonDrew
- · Replies 2 ·
Graduate How to understand differential geometry
- phyky
- · Replies 5 ·
Graduate Definition of the boundary map for chain complexes
- Tac-Tics
- · Replies 4 ·
Reciprocal Vectors: Representing $\mathbf{u}_i$ in Indicial Notation
- Dustinsfl
- · Replies 6 ·
Vector equation of a spherical surface
- Dustinsfl
- · Replies 3 ·
Graduate Summing the Mountains and Valleys of a Regular Polygon
- redount2k9
- · Replies 4 ·
Graduate The Relation between Cup Product and Wedge Product
- lavinia
- · Replies 3 ·
Graduate Can a Triangle Have Angles Over 180 Degrees Without 3D Embedding?
- Pjpic
- · Replies 4 ·
Graduate Generalizing Cross Products: Finding Orthogonal Vectors in n-Dimensional Space?
- rvadd
- · Replies 5 ·
Graduate How does the curl equation measure rotation?
- autodidude
- · Replies 5 ·
Graduate How to find angle after two rotations
- 1MileCrash
- · Replies 2 ·
Graduate Does a 3D Half-Edge Data Structure Exist?
- Ole Lindberg
- · Replies 1 ·
Undergrad Can you triangulate a triangle? (also, odd sided polygons to represent surfaces)
- iLoveTopology
- · Replies 5 ·
High School How to calculate/find the volume of drinking bottles and product containers?
- kweba
- · Replies 3 ·
Graduate How to find an angle in spherical geometry.
- yungman
- · Replies 3 ·
Graduate Where Does the Coordinate Basis Approach to Lie Groups Break Down?
- Kontilera
- · Replies 12 ·
Graduate How to calculate the solid angle of a cone with cone axis arbitrary?
- soljiang
- · Replies 5 ·
Graduate Fixed point for injections of unit square into larger square
- sammycaps
- · Replies 12 ·
Position of Particle in a Circular Path: Solution
- Dustinsfl
- · Replies 6 ·
Undergrad What does it mean when a surface equation equals a constant?
- Summer2442
- · Replies 10 ·
Undergrad What exactly is a tensor and how should I think about it?
- VivaLaFisica
- · Replies 9 ·
Undergrad Determining Areas of Triangles in Hexagon ABCDEF
- Numeriprimi
- · Replies 4 ·
Graduate Differential geometry vs differential topology
- sabw1992
- · Replies 2 ·
Graduate Definition of the wedge product on the exterior algebra of a vector space
- phibonacci
- · Replies 3 ·
Graduate Reference for the FKG inequality
- hedipaldi
- · Replies 2 ·
Graduate Atlas of complex projective 3-space ##\mathbb{C}P^3##
- kloptok
- · Replies 1 ·
Graduate Graphing Covariant Spherical Coordinates
- jstrunk
- · Replies 4 ·
Graduate Does Every Circle Bundle Originate from a 2-Plane Bundle?
- lavinia
- · Replies 3 ·
High School How Do You Calculate (X,Y) Coordinates on a Circle with a Given Radius?
- 777funk
- · Replies 2 ·
Undergrad Where Do Points Sum to Two-Thirds the Perimeter of a Rectangle?
- Numeriprimi
- · Replies 4 ·
Graduate Why do different dimensions have different numbers of differential structures?
- saminator910
- · Replies 2 ·
Graduate Continuous R^2xR^2xR^2/E^+(2) -> R^3 injection
- pmsrw3
- · Replies 1 ·