Unconditional existence of conformally hyperbolic Yamabe flows
Abstract
We prove global existence of instantaneously complete Yamabe flows on hyperbolic space of arbitrary dimension m≥3 starting from any smooth, conformally hyperbolic initial metric. We do not require initial completeness or curvature bounds. With the same methods, we show rigidity of hyperbolic space under the Yamabe flow.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.