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Mathematics
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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. Homework help is available.
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J
I
Can the area be understood as "number of points"?
jordi
2
V
I
Geodesics under coordinate transformation
VladZH
C
I
Full-cone as topological space
cianfa72
C
I
About the definition of a Manifold
cianfa72
M
I
Larger assignment on Vector Fields
MarkBrezina
C
I
Product space vs fiber bundle
cianfa72
C
I
Difference (if any) between E^1 x E^3 and E^4
cianfa72
A
I
Variation of geometrical quantities under infinitesimal deformation
andresB
D
I
Diffeomorphism invariance and contracted Bianchi identity
"Don't panic!"
I
Bases for Tangent Spaces and Subspaces - McInerney Theorem 3.3.14
Math Amateur
L
I
Algorithm to determine the roulette curve
LAP3141
I
Parameterized surfaces from coordinates
Pencilvester
A
I
Proving that an action is transitive in the orbits
Andres316
I
Invariant properties of metric tensor
olgerm
M
I
Derivative of a Tensor
mk9898
K
I
Coordinate systems on the 2-sphere
kent davidge
I
Set of possible rotations of a 3D object and the rotation history
Spinnor
2
I
Fourier transform on manifolds
redtree
Q
I
Deriving the spherical volume element
quickAndLucky
E
I
Deriving reduction formula in Geometric Algebra
Eric_H
D
I
Component derivative of a tensor
dsaun777
S
I
Definition of tangent space: why germs?
strauser
K
I
Tangent spaces at different points
kent davidge
I
Computing the Directional Derivative ...
Math Amateur
A
I
Tangent vector basis and basis of coordinate chart
AndrewGRQTF
I
Interpreting The Definition of Tensors
VuIcan
K
I
Tangent spaces at different points
kent davidge
K
I
Connections (principal bundles) ...
kent davidge
K
I
Differential forms and bases
kiuhnm
K
I
Cordinates on a manifold
kiuhnm
I
Do index gymnastics change a tensor's dimensions?
snoopies622
I
Hopf fibration, stereoprojected fibers look close, can be?
Spinnor
K
I
Hodge dual
kiuhnm
K
I
Gradient vector without a metric
kiuhnm
I
How are basis vectors defined?
olgerm
K
I
Covariant Derivatives
kiuhnm
K
I
Christoffel symbol ("undotting")
kiuhnm
C
I
Injective immersion that is not a smooth embedding
cianfa72
C
I
Differential structure on a half-cone
cianfa72
N
I
Why vector lengths may not be preserved?
Nusc
I
About the properties of the Divergence of a vector field
aboutammam
M
I
Explanation of the Alternator
Maxi1995
N
I
Rotating Coordinates
Nusc
R
I
Differential of the coordinate functions
Rico1990
S
I
Difference between vectors and one-forms
Silviu
2
I
Showing that the image of an arbitrary patch is an open set
Gene Naden
I
Do Isometries Preserve Covariant Derivatives?
Gene Naden
I
Differential for surface of revolution
Gene Naden
2
I
Connection forms and dual 1-forms for cylindrical coordinate
Gene Naden
M
I
Christoffel symbol and einstein summation convention
Mathematicsresear
C
I
Riemann Tensor knowing Christoffel symbols (check my result)
Confused Physicist
W
I
Exponential map for Lie groups
wacki
C
I
Christoffel symbols knowing Line Element (check my result)
Confused Physicist
D
I
Problem: perturbation of Ricci tensor
dpopchev
S
I
What is the proof that the divergence is normal to the surface?
swampwiz
F
I
Lie derivative of a metric determinant
Frank Castle
H
I
How to write the Frenet equations using the vector gradient?
HaniZaheer
I
Surface Metric Computation
joshmccraney
N
I
Computation of the left invariant vector field for SO(3)
nigelscott
P
I
Lie Derivatives and Symmetry
pcr
I
Meaning of cross terms in line element
beefbrisket
I
Some Questions on Differential Forms and Their Meaningfulness
jedishrfu
2
I
Unproven statement in a book
facenian
I
What is the covariant derivative of the position vector?
Alain De Vos
K
I
Metrics and topologies
kent davidge
J
I
Manifold with a boundary
JYM
I
Does a covariant version of Euler-Lagrange exist?
JuanC97
G
I
Basic Q about Vector/tensor definition and velocity
Gadhav
M
I
Coherent operations on Jacobian matrices
Mapprehension
S
I
Connections on principal bundles
Silviu
D
I
On the Gaussian Curvature of time-like surfaces
deRoy
S
I
Fibre Bundles
Silviu
F
I
Deduce Geodesics equation from Euler equations
fab13
I
Coordinate systems vs. Euclidean space
JTC
F
I
Covariant derivative of Ricci scalar causing me grief!
ft_c
S
I
Conformal Related metrics
Silviu
S
I
Parallelizable Manifold
Silviu
S
I
Kunneth Formula
Silviu
S
I
Integration of a one form
Silviu
S
I
Isotropy group
Silviu
S
I
Cohomology ring
Silviu
S
I
Maurer-Cartan form
Silviu
S
I
Arbitrariness of connection and arrow on sphere
strauser
S
I
Differential geometry in physics
Silviu
S
I
De Rham Period
Silviu
I
Left translate back to I in SO(3)
JTC
J
I
Calculate object distance by using just the parallax angles
jay t
I
4-Vector Cross Product
Philosophaie
S
I
Lorentz group is non-compact
Silviu
S
I
Integration of a manifold
Silviu
S
I
Interior product
Silviu
S
I
Wedge Product and r-form
Silviu
S
I
Lie bracket on a manifold
Silviu
S
I
Vector field on a manifold
Silviu
S
I
Difference between diffeomorphism and homeomorphism
Silviu
2
3
S
I
Problems in Differential geometry
Silviu
I
Transformation of covariant vector components
saadhusayn
V
I
Hyperbolic space simulation in VR
VladZH
C
I
About extrinsic curvature
craigthone
I
Question about Haar measures on lie groups
Luck0
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Mathematics
Hot Threads
J
I
Can the area be understood as "number of points"?
Started by jordi
Jun 4, 2019
Replies: 25
Differential Geometry
V
I
Geodesics under coordinate transformation
Started by VladZH
Apr 25, 2019
Replies: 23
Differential Geometry
C
I
About the definition of a Manifold
Started by cianfa72
May 16, 2019
Replies: 20
Differential Geometry
A
Logical foundations of smooth manifolds
Started by Avatrin
Mar 21, 2019
Replies: 16
Differential Geometry
C
I
Difference (if any) between E^1 x E^3 and E^4
Started by cianfa72
Apr 27, 2019
Replies: 14
Differential Geometry
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