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The goal of this article is to establish estimates involving the Yamabe minimal volume, mixed minimal volume and some topological invariants on compact 4-manifolds. In addition, we provide topological sphere… Click to show full abstract
The goal of this article is to establish estimates involving the Yamabe minimal volume, mixed minimal volume and some topological invariants on compact 4-manifolds. In addition, we provide topological sphere theorems for compact submanifolds of spheres and Euclidean spaces, provided that the full norm of the second fundamental form is suitably bounded.
Keywords:
volume;
invariants topological;
volume invariants;
sphere theorems;
minimal volume;
topological sphere
Journal Title: Mathematische Nachrichten
Year Published: 2018
Link to full text (if available)
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Journal Title: Mathematische Nachrichten
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!