Existence of a Hessian function for a critical point in a Manifold
112271
Definition of the hessian as a bilinear functional on the tangent space
151981
Tangent line of a convex function
69798
Intersecting geodesics in a positive curvature manifold
158407
derivative bounded by a constant multiple of the function
11017
Does existence of partial derivatives implies continuity at a point $(x_0,y_0)$?
89380
A positive harmonic function on the punctured plane is constant
151285
Existence of a local geodesic frame
123235
A smooth vector field on $S^2$ vanishing at a single point
72702
Estimate on the derivative at fixed point
137971
Existence of an holomorphic function
124861
The extension of smooth function
129765
Mean value theorem for the second derivative, when the first derivative is zero at endpoints
47977
If $u$ is harmonic and bounded in $0 < |z| < \rho$, show that the origin is a removable singularity
18207
Removable singularity for harmonic functions
51546
Geometrical Interpertation of Cauchy's Mean Value Theorem
93314
At what point is the curvature of $y=-\ln(x)$ maximal?
74540
Pullback of a Volume Form Under a Diffeomorphism.