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 Einstein summation convention confusion
- dyn
- · Replies 5 ·
High School Does the equation x² + y² = 1 describe a boundary or a surface?
- pairofstrings
- · Replies 10 ·
High School Math Equation for Backward Going Curve?
- pairofstrings
- · Replies 17 ·
Graduate Hilbert spaces and kets "over" manifolds
- andresB
- · Replies 10 ·
Undergrad Trouble understanding contravariant transformations for vectors
- whisperzone
- · Replies 1 ·
Undergrad Vector squared in polar coordinates
- dyn
- · Replies 10 ·
Graduate What is the geometric approach to mathematical research?
- kay bei
- · Replies 2 ·
Undergrad Math Myth: The sum of all angles in a triangle is 180°
- Greg Bernhardt
- · Replies 1 ·
Graduate Mapping circular bevel gear profiles to conical surfaces
- noname12345
- · Replies 8 ·
Graduate Differential forms on R^n vs. on manifold
- Kris-L
- · Replies 4 ·
Undergrad Understanding Geodesic Parametrization on a Sphere
- Jufa
- · Replies 3 ·
Graduate On the relationship between Chern number and zeros of a section
- Othin
- · Replies 3 ·
Undergrad Definition of tangent space: why germs?
- strauser
- · Replies 6 ·
Undergrad Transition Functions and Lie Groups
- knowwhatyoudontknow
- · Replies 2 ·
Undergrad Is There a Distinction Between Riemann Metrics in Physics?
- Killtech
- · Replies 16 ·
High School Ways to abstract curves or surfaces
- trees and plants
- · Replies 19 ·
Graduate Lagrangian for straight line in XY-plane (dependent on time)
- lambdajitsu
- · Replies 3 ·
Graduate Why are sheafs defined using abelian groups?
- dx
- · Replies 8 ·
Graduate Something about configuration manifolds in classical mechanics
- wrobel
- · Replies 2 ·
Graduate Connection between Reciprocal Space and Cotangent Space
- Phinrich
- · Replies 29 ·
Graduate On the different ways of determining curvature on manifolds
- trees and plants
- · Replies 1 ·
Graduate Is information geometry worth studying?
- Frabjous
- · Replies 13 ·
Undergrad What are the restrictions when swapping between geometries in physics?
- Killtech
- · Replies 12 ·
Undergrad Does tensor rank mean (m,n) or just total number of indices?
- George Keeling
- · Replies 9 ·
Undergrad Pushforward/Pullback of Vector Field
- knowwhatyoudontknow
- · Replies 4 ·
Graduate Transformation of coordinate basis
- Antarres
- · Replies 9 ·
High School Examples of manifolds not being groups
- trees and plants
- · Replies 7 ·
Graduate Natural parametrization of a curve
- eva_92
- · Replies 5 ·
Undergrad Position of a point as a function of angular position
- Andrea Vironda
- · Replies 7 ·
Undergrad About divergence, gradient and thermodynamics
- fluidistic
- · Replies 4 ·
Graduate What is the Concept of Spectral Geometry?
- mhill
- · Replies 1 ·
Undergrad Integration of differential forms
- JonnyG
- · Replies 5 ·
Undergrad Parallel transport on flat space
- steve1763
- · Replies 11 ·
Undergrad Closest point on a plane to a point near the plane
- kairama15
- · Replies 6 ·
Undergrad Testing my knowledge of differential forms
- JonnyG
- · Replies 4 ·
Undergrad Can Topological Spaces Have Properties Similar to Manifolds?
- trees and plants
- · Replies 1 ·
Undergrad Prove the following statement about n-Manifolds
- LCSphysicist
- · Replies 6 ·
Undergrad What is the Minkowski metric tensor's trace?
- LCSphysicist
- · Replies 3 ·
Undergrad Finding the change in position and angle after moving the rectangle
- junseok Lee
- · Replies 4 ·
Graduate What is a Fibre Bundle? A 5 Minute Introduction
- Greg Bernhardt
- · Replies 8 ·
What is discrete geometry and what background is needed?
- evinda
- · Replies 4 ·
Undergrad Covariant derivatives, connections, metrics, and Christoffel symbols
- docnet
- · Replies 4 ·
Undergrad Derived metrics on surfaces of positive curvature
- lavinia
- · Replies 5 ·
Undergrad Difference between diffeomorphism and homeomorphism
- Silviu
- · Replies 69 ·
Undergrad Fixing orientation by fixing a frame in a tangent space
- Unconscious
- · Replies 1 ·
Undergrad Riemannian Fisher-Rao metric and orthogonal parameter space
- Vini
- · Replies 1 ·
Undergrad How is this a representation of a 3 dimensional torus?
- docnet
- · Replies 4 ·
High School Can coordinates be functions in geometry?
- trees and plants
- · Replies 6 ·
High School Can Curvature and Geodesics be Generalized in Higher Dimensions?
- trees and plants
- · Replies 10 ·
Undergrad What is an (almost) complex manifold in simple words
- gerald V
- · Replies 4 ·
Undergrad Are vector components contravariant or covariant, not the vector itself?
- Hiero
- · Replies 22 ·
High School Why does the Wikipedia article use a negative sign in the 4-gradient?
- etotheipi
- · Replies 7 ·
How do I find the Euclidean Coordinate Functions of a parametrized curve?
- banananaz
- · Replies 1 ·
Undergrad Infinitesimal Movement Along 3-d Geodesics
- kairama15
- · Replies 1 ·
Undergrad Elliptic Function Rotation Problem
- Sabertooth
- · Replies 1 ·
Undergrad Geometry and algebraic equations
- member 428835
- · Replies 4 ·
Graduate Parallel transport on a symplectic space
- andresB
- · Replies 1 ·
High School Understanding 3D Temperature Direction Change with 8 Corner Points
- sqljunkey
- · Replies 6 ·
Graduate Is there an invariant form of the geodesic equation?
- jk22
- · Replies 11 ·
High School Increasing the dimensions of a manifold
- sqljunkey
- · Replies 1 ·
Undergrad Why Torsion = 0 => Planar Curve in this Proof
- Rippling Hysteresis
- · Replies 8 ·
Undergrad Fixing an orientation for a connected smooth surface
- Unconscious
- · Replies 4 ·
High School Relating basis vectors at different points in a neighborhood
- Shirish
- · Replies 5 ·
High School Standard version of covariant derivative properties
- Shirish
- · Replies 5 ·
High School Why can't we define tensor field derivatives by differentiating components?
- Shirish
- · Replies 7 ·
Undergrad Are product spaces disjoint unions of fibers in trivial bundles?
- cianfa72
- · Replies 15 ·
Undergrad The second fundamental form and derived metrics
- lavinia
- · Replies 13 ·
Graduate Can we always rewrite a Tensor as a differential form?
- kay bei
- · Replies 8 ·
Graduate How Can I Differentiate Curves Where the Real Part of \( Y(t) \) Vanishes?
- qbar
- · Replies 3 ·
High School Why is There No Factor of 1/2 in the Torsion Tensor Definition?
- Shirish
- · Replies 3 ·
High School Solving for integral curves- how to account for changing charts?
- Shirish
- · Replies 4 ·
High School Reconciling basis vector operators with partial derivative operators
- Shirish
- · Replies 4 ·
Undergrad Tangent space basis vectors under a coordinate change
- Shirish
- · Replies 12 ·
High School Derivative of a constant scalar field at a point
- Phinrich
- · Replies 2 ·
Undergrad Partial Surface Area of a Tube
- deweyirl
- · Replies 4 ·
Undergrad Area of an inclined surface with respect to the original surface
- tent
- · Replies 5 ·
Undergrad Sachs and Wu's General Relativity for Mathematicians
- Avogadro Number
- · Replies 5 ·
Undergrad Directional Derivatives of a vector ----gradient of f(P)----
- Ishika_96_sparkles
- · Replies 4 ·
Graduate What Is a Kahler Manifold?
- s00mb
- · Replies 7 ·
High School A covariant vs contravariant vector?
- etotheipi
- · Replies 5 ·
Undergrad About Covariant Derivative as a tensor
- cianfa72
- · Replies 6 ·
Undergrad Why does the isotropic curvature constraint imply maximal symmetry?
- Wledig
- · Replies 9 ·
Undergrad Differentiating the Dot Product's Evil Twin
- Trying2Learn
- · Replies 2 ·
High School Is my intuitive way of thinking about non-Euclidean geometry valid?
- SamRoss
- · Replies 19 ·
Graduate How to understand when surface terms go to zero
- Ebarval
- · Replies 6 ·
Undergrad Visualizing the cotangent space to a sphere
- giulio_hep
- · Replies 26 ·
Undergrad How Do Transition Functions Define a Möbius Strip in Fiber Bundles?
- cianfa72
- · Replies 10 ·
Graduate Are there references and do the converse theorems hold for theorems 1,2?
- wrobel
- · Replies 0 ·
Graduate Diffeomorphic manifolds of equal constant curvature
- C0nstantine
- · Replies 42 ·
Where Do These Parametric Equations and Plane Intersect?
- aa1604962
- · Replies 1 ·
Graduate Tangent vector derivation: differentiating pullback vs original field
- Decimal
- · Replies 9 ·
Graduate Time derivative of basis frames and the product rule
- Trying2Learn
- · Replies 1 ·
Graduate Geodesics of the 2-sphere in terms of the arc length
- Adrian555
- · Replies 4 ·
Undergrad Sufficient condition for a vector field to be conservative
- DottZakapa
- · Replies 3 ·
Undergrad Living inside a Hopf fibration, seeing the fibers
- Spinnor
- · Replies 26 ·
Undergrad Beltrami flows have zero parallel gradients?
- TheCanadian
- · Replies 1 ·
Undergrad Geodesics on a sphere and the Christoffel symbols
- acegikmoqsuwy
- · Replies 6 ·
High School An intrinsic equation of a surface
- geordief
- · Replies 5 ·
Undergrad A set of numbers as a smooth curved changing manifold.
- Spinnor
- · Replies 3 ·
Graduate Pullback of the metric from R3 to S2
- nigelscott
- · Replies 1 ·