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Deane
  • Member for 12 years, 11 months
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16 votes
Accepted

Why must differential forms be antisymmetric?

12 votes
Accepted

What's the intuition behind the Co-Area formula?

10 votes
Accepted

On the definition of a tensor in the study of manifolds

9 votes
Accepted

Deduce the shape of a manifold from the Riemannian metric

6 votes
Accepted

Neighbourhood of Linearly Independent Vector Fields $(X_1,\dots,X_n)$

6 votes

Relating the Ricci curvatures of two Riemannian metrics

6 votes
Accepted

Calculating scalar curvature of a warped product $I \times N^n(k)$

5 votes

Different approaches to $g\left(\nabla_{\nabla_{e_j}e_i}X,e_i\right)+g\left(\nabla_{e_i}X,\nabla_{e_j}e_i\right)=0$.

5 votes
Accepted

Regular value of the determinant map

5 votes
Accepted

Is the differential $\mathrm{d}\vec{r}$ a sensible mathematical object?

5 votes

Definitions of Hessian in Riemannian Geometry

5 votes

How to understand $R^{\rho}_{\sigma\mu\nu}$ for constructing geometries?

5 votes

Motivation for the definition of curvature of a plane curve

5 votes

Which is the correct definition of covectors?

4 votes
Accepted

Riemannian volume forms on a family of surfaces evolving by IMCF

4 votes

Proof of a Caccioppoli type inequality

4 votes

How is the fundamental theorem of calculus dependent on orientation?

4 votes

Exterior Derivative of One-Form vs Torsion of Connection

4 votes
Accepted

Local isometric immersion from $\mathbb H^{n}$ into $\mathbb R^{2n-1}$

4 votes
Accepted

Busemann function and its relation to horocycle

4 votes
Accepted

Why we define connection on a vector bundle in such an unnatural way?

4 votes
Accepted

Can we define a specific metric tensor to all manifolds?

4 votes

Explanation about frames as distinct from a co-ordinate system

4 votes
Accepted

Warped Product Metric: assumption on the metric

4 votes

Conceptual understanding of Christoffel symbols

4 votes
Accepted

How to understand the explanation of conjugate point in Petersen's Riemannian geometry

4 votes

Trace and Lie derivative of a $(1,1)$-tensor commute (Direct proof)

4 votes

Analytic definition implies geometric definition of trigonometric functions

4 votes
Accepted

How to prove that all Minkowski spacetime isometries (transformations in Poincare group) are compositions of translation and Lorentz Transformations?

4 votes
Accepted

Is there a formal mathematical definition of unit systems and dimensional analysis?

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