The mean curvature of the second fundamental form of a hypersurface.
Haesen, Stefan, Verpoort, Steven (2010)
Beiträge zur Algebra und Geometrie
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Haesen, Stefan, Verpoort, Steven (2010)
Beiträge zur Algebra und Geometrie
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Bang-Yen Chen (2002)
Archivum Mathematicum
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First we prove a general algebraic lemma. By applying the algebraic lemma we establish a general inequality involving the Ricci curvature of an arbitrary real hypersurface in a complex hyperbolic space. We also classify real hypersurfaces with constant principal curvatures which satisfy the equality case of the inequality.
Christos Baikoussis, Themis Koufogiorgos (1988)
Colloquium Mathematicae
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Cai, Kairen, Xu, Huiqun (2006)
International Journal of Mathematics and Mathematical Sciences
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Yves Martinez-Maure (2012)
Open Mathematics
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The classical Minkowski problem has a natural extension to hedgehogs, that is to Minkowski differences of closed convex hypersurfaces. This extended Minkowski problem is much more difficult since it essentially boils down to the question of solutions of certain Monge-Ampère equations of mixed type on the unit sphere of ℝn+1. In this paper, we mainly consider the uniqueness question and give first results.
Dursun, Uǧur (2006)
Balkan Journal of Geometry and its Applications (BJGA)
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Ryszard Deszcz, Miroslava Petrović-Torgašev, Zerrin Şentürk, Leopold Verstraelen (2010)
Publications de l'Institut Mathématique
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de Lima, Henrique F., de Lima, Joseilson R. (2009)
International Journal of Mathematics and Mathematical Sciences
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Lohkamp, Joachim (1998)
Documenta Mathematica
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