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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,695 papers · 148 categories

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2 results for “Hopf-symmetric”

On the PPW Conjecture For Hopf-symmetric Sets In Non-compact Rank One Symmetric Spacemath.DG

Paper proves eigenvalue inequality for Hopf-symmetric domains.

problem Eigenvalue inequality for Hopf-symmetric domains in non-compact symmetric spaces.

method Used geometric and spectral analysis on non-compact rank one symmetric spaces.

result Eigenvalue inequality for bounded Hopf-symmetric domains in non-compact symmetric spaces.

Eigenvalues Hopf-symmetric Non-compact Symmetric Eigenvalue inequality

2025-05-24abs ↗pdf ↗

Gauss map and the topology of constant mean curvature hypersurfaces of

\mathbb{S}^{7}

and

\mathbb{CP}^{3}

math.DG

We define a Gauss map $γ:M\rightarrow\mathbb{S}^{6}$ of an oriented hypersurface $M$ of the unit sphere $\mathbb{S}^{7}$ and prove that $γ$ is harmonic if and only if $M$ has CMC. Results on the geometry and topology of CMC hypersurfaces of $\mathbb{S}^{7}$ , under hypothesis on the image of $γ$ , are then obtained. By a…

2017-03-07abs ↗pdf ↗