More on convolution of Riemannian manifolds.
A general optimal inequality for arbitrary Riemannian submanifolds.
A series of Kählerian invariants and their applications to Kählerian geometry.
Eigenvalues of a natural operator of centro-affine and graph hypersurfaces.
Constant mean curvature hypersurfaces with constant -invariant.
Inequalities between volume, center of mass, circumscribed radius, order, and mean curvature.
The cubic representation of a submanifold.
Spherical hypersurfaces with 2-type Gauss map.
Mixed foliate CR-submanifolds in a complex hyperbolic space are non- proper.
Slant surfaces with prescribed Gaussian curvature.
On a Theorem of Fenchel-Borsuk-Willmore-Chern-Lashof.
Surfaces with Parallel Normalized Mean Curvature Vector.
Differential Geometry of Real Submanifolds in a Kähler Manifold.
Complete classification of spatial surfaces with parallel mean curvature vector in arbitrary non-flat pseudo-Riemannian space forms
Submanifolds with parallel mean curvature vector play important roles in differential geometry, theory of harmonic maps as well as in physics. Spatial surfaces in 4D Lorentzian space forms with parallel mean curvature vector were classified by B. Y. Chen and J. Van der Veken in [9]. Recently, spatial surfaces with parallel mean curvature vector in arbitrary pseudo-Euclidean spaces are also classified in [7]. In this article, we classify spatial surfaces with parallel mean curvature vector in pseudo-Riemannian...
An integral formula for submanifolds and its application
Complete classification of parallel Lorentz surfaces in neutral pseudo hyperbolic 4-space
A Lorentz surface of an indefinite space form is called a parallel surface if its second fundamental form is parallel with respect to the Van der Waerden-Bortolotti connection. Such surfaces are locally invariant under the reflection with respect to the normal space at each point. Parallel surfaces are important in geometry as well as in general relativity since extrinsic invariants of such surfaces do not change from point to point. Recently, parallel Lorentz surfaces in 4D neutral pseudo Euclidean...
Value-distributions of Some Deformation Invariants for Bochner-Kaehler Manifolds
Vengono date varie informazioni concernenti la distribuzione dei valori di due degli invarianti di deformazione di una varietà di Bochner-Kaehler (§1, Theor. 1), facendone poi varie applicazioni (§4).
Characterizations of Einstein Kaehler manifolds and applications
Vengono date condizioni sufficienti affinché una varietà compatta di Kaehler o coomologicamente di Einstein-Kaehler sia einsteiniana (Teorema 1, 2); se ne deducono condizioni assicuranti che un'intersezione completa in uno spazio proiettivo complesso risulti uno spazio lineare od un'iperquadrica (Teorema 3).
Cohomology of CR-submanifolds
Some Results for Surfaces with Flat Normal Connection
Vengono classificate le superficie di uno spazio euclideo m-dimensionale dotate di connessione normale piatta, con lo studio di opportune equazioni alle derivate parziali. Alcuni casi particolari vengono approfonditi, facendo varie applicazioni.
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