Menu

Navigation

More options

Style variation

Contact us

Differential Geometry Forum

Join experts in discussing differential geometry topics. This includes manifolds, Tensors and forms. Connections and curvature also. Differential and algebraic topology discussion.

Filters

Undergrad How Do You Find a Plane That Contains One Line and Is Parallel to Another?

May 23, 2004 · Replies 6 · May 25, 2004

Replies: 6

Views: 5K

Graduate How Do You Determine the Minimal Distance to a Circle in 3D Space?

May 13, 2004 · Replies 7 · May 13, 2004

Replies: 7

Views: 4K

Graduate How Can I Improve My Understanding of Twisted Forms in Mathematics?

Apr 10, 2004 · Replies 2 · Apr 29, 2004

Replies: 2

Views: 6K

Graduate How to Calculate Structure Constants for Reparametrized Rotation Group?

Apr 18, 2004 · Replies 1 · Apr 25, 2004

Replies: 1

Views: 3K

Undergrad Explaining the Physical Significance of Divergence and Curl in Vector Analysis

Apr 14, 2004 · Replies 8 · Apr 16, 2004

Replies: 8

Views: 4K

Graduate Expanding manifold with constant boundary

Mar 27, 2004 · Replies 8 · Apr 14, 2004

Replies: 8

Views: 4K

Undergrad Homogeneous points & coordinates

Apr 12, 2004 · Replies 5 · Apr 13, 2004

Replies: 5

Views: 5K

Undergrad Advice on geometric calculations

Apr 12, 2004 · Replies 5 · Apr 12, 2004

Replies: 5

Views: 2K

Graduate If curvature were an exact differential

Mar 31, 2004 · Replies 7 · Apr 11, 2004

Replies: 7

Views: 4K

Undergrad Removing 200 Points on a Plane: Solving the Circular Answer

Mar 31, 2004 · Replies 11 · Apr 3, 2004

Replies: 11

Views: 4K

Graduate Lie transport vs. parallel transport

Mar 25, 2004 · Replies 10 · Mar 31, 2004

Replies: 10

Views: 12K

Undergrad Solve 3D Plane Intersection & Reflection: Steps Included!

Mar 29, 2004 · Replies 3 · Mar 29, 2004

Replies: 3

Views: 3K

Undergrad Scalar & Vector Equations: What is the Difference?

Mar 25, 2004 · Replies 3 · Mar 26, 2004

Replies: 3

Views: 22K

Graduate Proving Q = gradP + Sr for Splitting Vector Field B

Mar 24, 2004 · Replies 6 · Mar 25, 2004

Replies: 6

Views: 2K

Graduate Quick Introduction to Tensor Analysis

Mar 17, 2004 · Replies 3 · Mar 24, 2004

Replies: 3

Views: 13K

Graduate Coordinate Transforms: Idiot's Guide & Rules of Thumb

Mar 23, 2004 · Replies 1 · Mar 23, 2004

Replies: 1

Views: 2K

Graduate Decomposition of a Divergenceless Vector Field

Mar 16, 2004 · Replies 1 · Mar 17, 2004

Replies: 1

Views: 3K

Graduate Which of the following is a metric on S? d^2 or d^(1/2)

Mar 16, 2004 · Replies 2 · Mar 16, 2004

Replies: 2

Views: 5K

Graduate Hausdorff topological space M of dimension m

Mar 14, 2004 · Replies 2 · Mar 14, 2004

Replies: 2

Views: 5K

Graduate Request for help and/or comments

Mar 2, 2004 · Replies 2 · Mar 4, 2004

Replies: 2

Views: 4K

Undergrad Parametric Curve: Solving & Graphing

Feb 24, 2004 · Replies 2 · Feb 24, 2004

Replies: 2

Views: 3K

High School Operation that will undo a curl operation?

Feb 16, 2004 · Replies 16 · Feb 18, 2004

Replies: 16

Views: 13K

Graduate How Do You Transform a (1,2) Tensor?

Feb 8, 2004 · Replies 5 · Feb 10, 2004

Replies: 5

Views: 5K

Graduate 4-volume is a rank (0,0) tensor?

Feb 2, 2004 · Replies 12 · Feb 6, 2004

Replies: 12

Views: 5K

Graduate Given a general graph on a plane, deform the plane in 3 space

Feb 5, 2004 · Replies 5 · Feb 6, 2004

Replies: 5

Views: 4K

Graduate Theorem between Curvature and submanifolds

Jan 7, 2004 · Replies 13 · Feb 1, 2004

Replies: 13

Views: 4K

Graduate Definition of a vector using transformations

Jan 26, 2004 · Replies 4 · Jan 26, 2004

Replies: 4

Views: 7K

Graduate Understanding Geodesic Deviation: Solving for Equations (7) to (8)

Jan 24, 2004 · Replies 4 · Jan 25, 2004

Replies: 4

Views: 6K

High School Analytical Geometry & Linear Algebra at HS

Jan 21, 2004 · Replies 2 · Jan 22, 2004

Replies: 2

Views: 4K

High School Difference between Plain & Solid Geometry

Jan 10, 2004 · Replies 2 · Jan 17, 2004

Replies: 2

Views: 12K

Graduate Can You Simplify Inertia Tensor Calculations for 3D Objects?

Nov 25, 2003 · Replies 2 · Dec 6, 2003

Replies: 2

Views: 15K

Graduate Metrics and coordinate transforms

Nov 23, 2003 · Replies 14 · Nov 25, 2003

Replies: 14

Views: 6K

Graduate Drawing Curve in R2 Space: ds2=y2dx2+dy2

Nov 3, 2003 · Replies 2 · Nov 21, 2003

Replies: 2

Views: 5K

Graduate Pronouncing Synge's Theorem: Connecting Curvature and Genus

Nov 17, 2003 · Replies 18 · Nov 20, 2003

Replies: 18

Views: 8K

Undergrad The Euler 9 Point Circle: Solving the Mystery of its Triangle Compatibility

Nov 19, 2003 · Replies 2 · Nov 19, 2003

Replies: 2

Views: 7K

Graduate Proposed Resource Sticky for Quantum Differential Geometry

Nov 17, 2003 · Replies 2 · Nov 17, 2003

Replies: 2

Views: 5K

Graduate Basic tools for quantized differential geometry

Oct 22, 2003 · Replies 2 · Oct 30, 2003

Replies: 2

Views: 6K

Graduate Comments on Toy Principle Bundle

Oct 26, 2003 · Replies 2 · Oct 26, 2003

Replies: 2

Views: 4K

Graduate Building a Toy Principle Bundle: Visualizing Connections on Manifolds

Oct 26, 2003 · Replies 2 · Oct 26, 2003

Replies: 2

Views: 6K

Undergrad Differential geometry and tensor calculus

Oct 5, 2003 · Replies 6 · Oct 13, 2003

Replies: 6

Views: 19K

Graduate Can Singularities Be Modeled as a Conventional Field?

Sep 9, 2003 · Replies 3 · Sep 11, 2003

Replies: 3

Views: 3K

Graduate Fresh start at a (Loop) Quantum Gravity thread

Aug 3, 2003 · Replies 12 · Aug 25, 2003

Replies: 12

Views: 4K

Graduate Principal G-bundle and bundle of bases (footnote)

Aug 11, 2003 · Replies 2 · Aug 13, 2003

Replies: 2

Views: 5K

Graduate Development of Loop Quantum Gravity

Aug 8, 2003 · Replies 22 · Aug 12, 2003

Replies: 22

Views: 7K

Undergrad Rotating vector x around vector z

Aug 12, 2003 · Replies 2 · Aug 12, 2003

Replies: 2

Views: 4K

Graduate Who's better, Baez or Rovelli? (at explaining GR)

Aug 7, 2003 · Replies 4 · Aug 7, 2003

Replies: 4

Views: 3K

High School Could a vector be also a curved line not only a straight line?

Aug 1, 2003 · Replies 3 · Aug 1, 2003

Replies: 3

Views: 7K

Graduate One half of LQG's proposed math framework topic

Jul 21, 2003 · Replies 7 · Jul 26, 2003

Replies: 7

Views: 3K

Undergrad How Can You Calculate the Length of a Sine Wave's Curve?

Jul 18, 2003 · Replies 13 · Jul 21, 2003

Replies: 13

Views: 6K

Graduate What is the best font for displaying mathematical symbols?

Jul 10, 2003 · Replies 2 · Jul 11, 2003

Replies: 2

Views: 3K

Graduate Thetas, tets, sixjays and such

Jul 8, 2003 · Replies 4 · Jul 8, 2003

Replies: 4

Views: 3K

Undergrad What is the Notation of a Manifold?

Jul 5, 2003 · Replies 2 · Jul 5, 2003

Replies: 2

Views: 4K

Graduate Unveiling the Connection: Rotation Groups & Hyperspheres

May 3, 2003 · Replies 2 · Jun 11, 2003

Replies: 2

Views: 3K

Graduate Smallest Dimension Hypersphere & Constructing Non-Geodesic Line

May 3, 2003 · Replies 5 · May 10, 2003

Replies: 5

Views: 3K

Graduate How Are Surface Curvatures Derived from Implicit and Parametric Forms?

Apr 28, 2003 · Replies 16 · May 9, 2003

Replies: 16

Views: 5K

Graduate Rotation and increasing radius

Apr 21, 2003 · Replies 21 · Apr 28, 2003

Replies: 21

Views: 7K

Graduate Understanding Moments of Inertia & Tensors

Apr 16, 2003 · Replies 14 · Apr 21, 2003

Replies: 14

Views: 4K

Graduate N-dimensional geometric partitioning

Mar 21, 2003 · Replies 10 · Mar 22, 2003

Replies: 10

Views: 5K

Differential Geometry

Welcome to the Differential Geometry forum!

Differential geometry is a branch of mathematics that combines principles from calculus and geometry to study the properties of curves and surfaces in space. It focuses on understanding how objects curve and bend, incorporating the concept of differentiability.

Differential geometry utilizes tools from calculus, such as derivatives and integrals, to analyze geometric structures and investigate topics like curvature, torsion, and metrics. This field has applications in physics, particularly in the study of general relativity, and plays a crucial role in areas such as computer graphics, where understanding the geometry of surfaces is essential.

Differential geometry provides a powerful framework for describing and analyzing the shapes and structures found in both mathematical abstractions and the physical world.

Top