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- W2753230023 abstract "We establish a new algebraic characterization of sectional curvature bounds $secgeq k$ and $secleq k$ using only curvature terms in the Weitzenbock formulae for symmetric $p$-tensors. By introducing a symmetric analogue of the Kulkarni-Nomizu product, we provide a simple formula for such curvature terms. We also give an application of the Bochner technique to closed $4$-manifolds with indefinite intersection form and $sec>0$ or $secgeq0$, obtaining new insights into the Hopf Conjecture, without any symmetry assumptions." @default.
- W2753230023 created "2017-09-15" @default.
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- W2753230023 date "2017-08-29" @default.
- W2753230023 modified "2023-09-27" @default.
- W2753230023 title "Sectional curvature and Weitzenböck formulae" @default.
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