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Operator \(\Delta\)-aK on surfaces

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Publication:1107855
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DOI10.14492/hokmj/1381517802zbMath0653.53044OpenAlexW2017084699MaRDI QIDQ1107855

Shigeo Kawai

Publication date: 1988

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1381517802

zbMATH Keywords

minimal surfacescomplete Riemannian spaceLaplacian with a potential


Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)


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The dynamics theorem for properly embedded minimal surfaces, Finite index operators on surfaces, harmonic 1-forms on hypersurfaces with finite index, Vanishing theorems for \(L^2\) harmonic 1-forms on complete submanifolds in a Riemannian manifold, A Colding-Minicozzi stability inequality and its applications, Inverse spectral positivity for surfaces, THE STRUCTURE OF COMPLETE MANIFOLDS WITH WEIGHTED POINCARÉ INEQUALITY AND MINIMAL HYPERSURFACES, On the shape of bodies in general relativistic regimes, First \(\frac{2}{n}\)-stability eigenvalue of singular minimal hypersurfaces in space forms, Eigenvalue estimates for minimal surfaces in hyperbolic space



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