Hypersurfaces in Euclidean spaces with finite total curvature

Peng Zhu

doi:10.2996/kmj/1478073772

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Home > Journals > Kodai Math. J. > Volume 39 > Issue 3 > Article

October 2016 Hypersurfaces in Euclidean spaces with finite total curvature

Peng Zhu

Kodai Math. J. 39(3): 552-566 (October 2016). DOI: 10.2996/kmj/1478073772

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Abstract

We discuss complete noncompact hypersurfaces in the Euclidean space Rⁿ⁺¹ with finite total curvature. We obtain vanishing result and finiteness theorem for the space of L² harmonic 2-forms. These results are generalized versions of results for L² harmonic 1-forms.

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Peng Zhu. "Hypersurfaces in Euclidean spaces with finite total curvature." Kodai Math. J. 39 (3) 552 - 566, October 2016. https://doi.org/10.2996/kmj/1478073772