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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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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
Tensor product of gradients
joshmccraney
A
Transversality unlocks the secrets of the manifold?
aboutammam
A
I
Proving that an action is transitive in the orbits
Andres316
I
Invariant properties of metric tensor
olgerm
A
Fractional spacetime, dimension equation
jk22
M
I
Derivative of a Tensor
mk9898
A
Equivalence of diffeomorphism definitions
Avatrin
A
Logical foundations of smooth manifolds
Avatrin
K
B
Definition of coordinate system
kent davidge
K
I
Coordinate systems on the 2-sphere
kent davidge
A
Second order partial derivatives vanish?
George Keeling
H
A
Variational derivative of mean curvature
Hologram0110
A
Question about covariant derivatives
George Keeling
I
Set of possible rotations of a 3D object and the rotation history
Spinnor
2
3
I
Fourier transform on manifolds
redtree
Q
I
Deriving the spherical volume element
quickAndLucky
E
A
Variational derivative and Euler-Poincare equations
eipiplusone
A
What is a differentiable variety?
Opressor
N
A
Visualize the Hamiltonian
Nusc
A
How to calculate the matrix of a form?
Abhishek11235
A
Pathological example of a Principle Fiber Bundle?
Geofleur
E
I
Deriving reduction formula in Geometric Algebra
Eric_H
A
Graphing Lie Derivative
Abhishek11235
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
B
Dimension of the metric of a projection of a sphere
jk22
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
2
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
A
Definition of Tensor and... Cotensor?
kiuhnm
K
I
Hodge dual
kiuhnm
K
I
Gradient vector without a metric
kiuhnm
E
A
Lie derivative of vector field defined through integral curv
Emil_M
A
Invariance of Commutator Relations
fresh_42
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
K
A
Intrinsic definition on a manifold
kiuhnm
P
A
Fundamental definition of extrinsic curvature
PLuz
N
I
Why vector lengths may not be preserved?
Nusc
C
B
Differentiable function - definition on a manifold
cianfa72
R
A
Pullback on a manifold
Rico1990
I
About the properties of the Divergence of a vector field
aboutammam
M
A
Wedge product
Maxi1995
M
A
Differentiability of a function between manifolds
Maxi1995
M
A
Differential of a function
Maxi1995
M
I
Explanation of the Alternator
Maxi1995
N
I
Rotating Coordinates
Nusc
R
I
Differential of the coordinate functions
Rico1990
R
A
How do I pass a magnetic field to any coordinate system?
raistlin
M
A
Coefficients in the linear combination of a k-form
Maxi1995
W
A
Defining a Contact Structure Globally -- Obstructions?
WWGD
S
I
Difference between vectors and one-forms
Silviu
2
W
A
Hessian as "Square" of Jacobian?
WWGD
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
A
The Distance between two points in a hypothetical universe
DAirey
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
A
Calculus of cohomology
Calabi
C
I
Christoffel symbols knowing Line Element (check my result)
Confused Physicist
A
Penrose paragraph on Bundle Cross-section?
Abhishek11235
D
I
Problem: perturbation of Ricci tensor
dpopchev
B
Coordinate Transformation
shahbaznihal
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
2
H
I
How to write the Frenet equations using the vector gradient?
HaniZaheer
X
A
Possible Error in Vladimir Arnold Mathematical Methods C
xdrgnh
B
Parametrization of the 3-sphere
jk22
A
First Variation of Jacobi Operator
darida
J
A
Properly embedded submanifold
JYM
A
Normal to coordinate curve
Abhishek11235
J
A
Constructing a sequence in a manifold
JYM
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
W
A
Connection 1-forms to Christoffel symbols
WendysRules
N
A
Explicit examples of calculations of Chern classes
nrqed
2
L
A
Family of curves tangent to a smooth distribution of lines
Lodeg
A
[Diff Forms & Skyrmions] What is this called?
vsv86
I
Some Questions on Differential Forms and Their Meaningfulness
jedishrfu
2
A
A
How to calculate the second fundamental form of a submanifold?
Alico
A
Coordinate representation of a diffeomorphism
stevendaryl
I
Unproven statement in a book
facenian
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Mathematics
Top Threads
I
Set of possible rotations of a 3D object and the rotation history
Started by Spinnor
Feb 11, 2019
Replies: 40
Differential Geometry
N
A
Explicit examples of calculations of Chern classes
Started by nrqed
May 5, 2018
Replies: 22
Differential Geometry
I
Hopf fibration, stereoprojected fibers look close, can be?
Started by Spinnor
Nov 24, 2018
Replies: 14
Differential Geometry
I
How are basis vectors defined?
Started by olgerm
Sep 26, 2018
Replies: 14
Differential Geometry
A
Pathological example of a Principle Fiber Bundle?
Started by Geofleur
Feb 5, 2019
Replies: 11
Differential Geometry
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