Conformal normal coordinates. (English) Zbl 0810.53007
Summary: We show that in every class of conformally equivalent Riemannian spaces there exists at least one space whose exponential map is volume preserving near a given point. The proof is based on the solution of degenerated nonlinear elliptic equations within the framework of weighted Hölder spaces.
MSC:
| 53B20 | Local Riemannian geometry |
| 53A30 | Conformal differential geometry (MSC2010) |
| 35J70 | Degenerate elliptic equations |
References:
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