The study of real hypersurfaces in complex space forms has been an active field of study
over the past decade. This article attempts to give the necessary background material to …

We study compact hypersurfaces of constant mean curvature immersed into a wide class of
Riemannian manifolds having a foliation whose leaves are umbilical hypersurfaces. In this …

We give sharp upper estimates for the difference circumradius minus inradius and for the
angle between the radial vector (respect to the center of an inball) and the normal to the …

Let M be a real hypersurface of a complex space form of constant curvature c. In this paper,
we study the hypersurface M which admits a nontrivial solution to Fischer–Marsden …

High-order Levi curvatures and classification results | Annals of Global Analysis and Geometry
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A Jellett type theorem for the Levi curvature - ScienceDirect Skip to main contentSkip to article
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It is known that a tube over a Kähler submanifold in a complex space form is a Hopf
hypersurface. In some sense the reverse statement is true: a connected compact generic …

We establish an integral formula on a smooth, precompact domain in a Kähler manifold. We
apply this formula to study holomorphic extension of CR functions. Using this formula, we …

In this paper, we discuss various Minkowski-type formulas for real hypersurfaces in complex
space forms. In particular, we investigate the formulas suggested by the natural splitting of …

In this paper, we study the horizontal Newton transformations, which are nonlinear operators
related to the natural splitting of the second fundamental form for hypersurfaces in a complex …