In $\Bbb R^3$, If tangent map of F preserves inner product, then F is an isometry?
91322
A diffeomorphism whose tangent map preserves dot products is an isometry.
57166
Showing that $\Bbb R[x] / \langle x^2 + 1 \rangle$ is isomorphic to $\Bbb C$ question
147287
Is it possible to construct a metric in $\mathbb{R}^n $ s.t. it does not induce CONVEX balls?
124042
Why is a vector space equal to its tangent space for any point?
74657
Can this intuition give a proof that an isometry $f:X \to X$ is surjective for compact metric space $X$?
58597
A characterization of functions from $\mathbb R^n$ to $\mathbb R^m$ which are continuous
127436
Conformal Maps onto the Unit Disc in $\mathbb{C}$
128603
Lie algebra and tangent space at the identity are isomorphic
91222
Isomorphism between $\mathfrak o(4,\mathbb R)$ and $\mathfrak o (3,\mathbb R) \oplus\mathfrak o (3,\mathbb R) $
114510
Inner Product Spaces
36980
Prove the third isomorphism theorem
57660
Biliniear form to inner product
77837
The converse of Newton's shell theorem
57619
Norms Induced by Inner Products and the Parallelogram Law
143269
Existence of area-preserving diffeomorphism between two sets in $\mathbb{R}^2$
41846
$(\mathbb{R}^n,\|\cdot\|_{p})$ is isometrically isomorphic to $(\mathbb{R}^n,\|\cdot\|_{q})$ iff $p=q,$
109498
Linear maps $f: M_n \longrightarrow \mathbb{R}$ such that $f(AB) = f(BA)$