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Existence of infinitely many minimal hypersurfaces in higher-dimensional closed manifolds with generic metrics
In this paper, we show that a closed manifold $M^{n+1} (n\geq 7)$ endowed with a $C^\infty$-generic (Baire sense) metric contains infinitely many singular minimal hypersurfaces with optimal regularity.
期刊介绍:
Publishes the latest research in differential geometry and related areas of differential equations, mathematical physics, algebraic geometry, and geometric topology.