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- W3014883693 abstract "We develop a degree theory for compact immersed hypersurfaces of prescribed $K$-curvature immersed in a compact, orientable Riemannian manifold, where $K$ is any elliptic curvature function. We apply this theory to count the (algebraic) number of immersed hyperspheres in various cases: where $K$ is mean curvature; extrinsic curvature and special Lagrangian curvature, and we show that in all these cases, this number is equal to $-chi(M)$, where $chi(M)$ is the Euler characteristic of $M$." @default.
- W3014883693 created "2020-04-10" @default.
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- W3014883693 date "2020-06-15" @default.
- W3014883693 modified "2023-09-27" @default.
- W3014883693 title "Degree Theory of Immersed Hypersurfaces" @default.
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