Checking riemann curvature tensor $C^\infty(M)$ linear in $Z$ with $R(X,Y)Z=\nabla_X\nabla_YZ-\nabla Y\nabla_XZ-\nabla_{[X,Y]}Z$
109358
Prove the Curvature Tensor is a Tensor
54391
Deriving curvature formula
35298
A question about the higher-order Weyl variation for the geodesic distance
71975
Showing that an Isometry on the Euclidean Plane fixing the origin is Linear
157213
Application of Luca's theorem
47096
translation invariant of integral on $\mathbb{R}$
144111
Divergence of $\vec{F} = \frac{\hat{\mathrm{r}}}{r^{2}}$
6843
Explain $\iint \mathrm dx\,\mathrm dy = \iint r \,\mathrm \,d\alpha\,\mathrm dr$
137796
Local translations in curved spacetime
15287
Proving that second derivative is perpendicular to curve
127631
On a conformal mapping
92033
Prove that $g$ is a submanifold: $g (t,u,v) = (t^2,u^2,v^2,\sqrt{2}uv, \sqrt{2}tv,\sqrt{2}tu)$
37352
The Gaussian and Mean Curvatures of a Parallel Surface
105997
Geometric interpretation of $\frac {\partial^2} {\partial x \partial y} f(x,y)$
105293
Proof of the second symmetric derivative
4687
Contracting with Levi-Civita (totally antisymmetric) tensor
132311
T$\mathbb{S}^{n} \times \mathbb{R}$ is diffeomorphic to $\mathbb{S}^{n}\times \mathbb{R}^{n+1}$