We prove that geodesic balls centered at some base point are uniquely isoperimetric sets in
the real hyperbolic space HR n endowed with a smooth, radial, strictly log-convex density on …

We define Gauss map from a real hypersurface in complex projective space to complex 2-
plane Grassmannian. We show that if a real hypersurface is Hopf, then the image of the …

Curvature-adapted submanifolds have been extensively studied in complex and
quaternionic space forms. This paper extends their study to a wider class of ambient spaces …

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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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 …

We define Gauss map from a real hypersurface in complex hyperbolic space to indefinite
complex 2-plane Grassmannian. We show that if a real hypersurface is Hopf, then the image …

A real hypersurface in the complex quadric $ Q^ m= SO_ {m+ 2}/SO_mSO_2 $ is said to be
$\mathfrak A $-principal if its unit normal vector field is singular of type $\mathfrak A …

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 …