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.
Ricci curvature of real hypersurfaces in complex hyperbolic space
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.
A Tour Through -invariants: from Nash’s Embedding Theorem to Ideal Immersions, Best Ways of Living and Beyond
Submanifolds with Geodesic Normal Sections.
On some geometric properties of -homogeneous production functions in microeconomics
A note on homogeneous production models
An explicit formula of Hessian determinants of composite functions and its applications
Chern classes and Bochner-Kaehler metrics
Surfaces with flat normal connection
Dopo aver dato due diverse caratterizzazioni per le superficie di una varietà riemanniana m-dimensionale che hanno una connessione normale piatta, si caratterizzano le superficie sferiche di codimensione 1 e le varietà riemanniane conformemente piatte di dimensione m > 3.
Some 2-type submanifolds and applications
The Segre imbedding and its converse
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