Example 4.16 . [052M] Original official author HTML, exact retained edition. Historical TeX conversion verdicts remain unchanged. Cited-edition alignment and mathematical self-containment are not assessed.
Source coverage notes Source fidelity gap: the original arXiv HTML omits an author TeX footnote attached to equation e:def-omega, including its reference to Remark r:error-function. The retained HTML is preserved as published; the original author TeX remains available. TeX correspondence is not complete. Complete original source context · Original author HTML
Example 4.16 .
If g g is a C k , α C^{k,\alpha} -metric on M n M^{n} , then for any p ∈ M n p\in M^{n} , we have r k , α ( p ) > 0 r_{k,\alpha}(p)>0 . Here the size of r k , α ( p ) r_{k,\alpha}(p) depends on p p .