The main result can be stated roughly as follows: Let M be an Alexandrov space, Ω ⊂ M an open domain and f: Ω → ℝ a harmonic function. Then f is Lipschitz on any compact subset of. Ω Using this result I extend proofs of some classical theorems in Riemannian geometry to Alexandrov spaces.
|Original language||English (US)|
|Number of pages||7|
|Journal||Electronic Research Announcements of the American Mathematical Society|
|State||Published - Dec 17 2003|
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