THE INVERSE MEAN CURVATURE FLOW IN RANK ONE SYMMETRIC SPACES OF NON-COMPACT TYPE

THE INVERSE MEAN CURVATURE FLOW IN RANK ONE SYMMETRIC SPACES OF NON-COMPACT TYPE

In this paper, we study the inverse mean curvature flow starting from a mean convex hypersurface in rank one symmetric spaces of non-compact type. We derive a lower bound for the mean curvature along the inverse mean curvature flow starting from a strictly star-shaped mean convex hypersurface.

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Veröffentlicht in:Kyushu Journal of Mathematics 2015, Vol.69(2), pp.259-284
Hauptverfasser: KOIKE, Naoyuki, SAKAI, Yusuke
Format: Artikel
Sprache:eng
Schlagworte:
Curvature
Geometry
Inverse
inverse mean curvature flow
Lower bounds
Mathematical analysis
star-shaped solution
support function
Symmetry
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Zusammenfassung:In this paper, we study the inverse mean curvature flow starting from a mean convex hypersurface in rank one symmetric spaces of non-compact type. We derive a lower bound for the mean curvature along the inverse mean curvature flow starting from a strictly star-shaped mean convex hypersurface.
ISSN:1340-6116
1883-2032
DOI:10.2206/kyushujm.69.259