Nonexistence of stable currents

descriptionPublicationkeyboard_double_arrow_right Article 01 May 1995 English Publisher:Springer Science and Business Media LLCJournal:Annals of Global Analysis and Geometry, volume 13, pages 197-205 (issn: 0232-704X, eissn: 1572-9060,

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Authors: Cheng, Qing-Ming;

doi: 10.1007/bf01120334

Nonexistence of stable currents

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Abstract

In the present paper the author investigates the nonexistence of stable integral currents in a compact hypersurface with positive Ricci curvature in a Euclidean space \(\mathbb{R}^{m + 1}\). Furthermore, a vanishing theorem concerning the homology group is obtained.

Related Organizations

The Abdus Salam International Centre for Theoretical Physics (ICTP)
Italy

Keywords

Ricci curvature, homology group, Currents in global analysis, Global submanifolds, Geometric measure and integration theory, integral and normal currents in optimization, stable integral currents

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