Anti-Invariant Submanifolds of Almost Contact Metric Manifolds.
Applications of spectral geometry to affine and projective geometry.
Approximation by positive mean curvature immersions: frizzing.
B. Y. Chen's inequality for semi-slant submanifolds in -space forms.
Biharmonic curves in Lorentzian para-Sasakian manifolds.
Biharmonic submanifolds in 3-dimensional -manifolds.
B.Y. Chen inequalities for bi-slant submanifolds in generalized complex space forms.
B.-Y. Chen inequalities for semislant submanifolds in Sasakian space forms.
B.-Y. Chen's inequalities for submanifolds of Sasakian space forms
Recentemente, B.-Y. Chen ha introdotto una nuova serie di invarianti riemanniani per ogni varietà riemanniana. Ha anche ottenuto disuguaglianze strette per questi invarianti per sottovarietà di forme spaziali reali e complesse in funzione della loro curvatura media. Nel presente lavoro proviamo analoghe stime per gli invarianti per sottovarietà -totalmente reali e di contatto di una forma spaziale di Sasaki .
-hypersurfaces of the six-dimensional sphere.
-totally real submanifolds of satisfying a certain inequality.
Cauchy-Riemann submanifolds of Kaehlerian Finsler spaces.
We study the geometry of the second fundamental form of a Cauchy-Riemann submanifold of a Kaehlerian Finsler space M2n; any totally-real submanifold of M2n with v-flat normal connection is shown to be a Berwald-Cartan space.
Caustics and wave front propagations: applications to differential geometry
This is mainly a survey on the theory of caustics and wave front propagations with applications to differential geometry of hypersurfaces in Euclidean space. We give a brief review of the general theory of caustics and wave front propagations, which are well-known now. We also consider a relationship between caustics and wave front propagations which might be new. Moreover, we apply this theory to differential geometry of hypersurfaces, getting new geometric properties.
Certain connections between time functions and compact spacelike submanifolds
Characteristic vector fields of generic distributions of corank 2
Characterization of a slant submanifold of a Kenmotsu manifold.
Characterization of -lightlike warped product of indefinite Kenmotsu manifolds
Characterization of totally umbilic hypersurfaces in a space form by circles
In this paper we characterize totally umbilic hypersurfaces in a space form by a property of the extrinsic shape of circles on hypersurfaces. This characterization corresponds to characterizations of isoparametric hypersurfaces in a space form by properties of the extrinsic shape of geodesics due to Kimura-Maeda.
Characterizations of complex space forms by means of geodesic spheres and tubes
We prove that a connected complex space form (,g,J) with n ≥ 4 can be characterized by the Ricci-semi-symmetry condition and by the semi-parallel condition , considering special choices of tangent vectors to small geodesic spheres or geodesic tubes (that is, tubes about geodesics), where , and denote the Riemann curvature tensor, the corresponding Ricci tensor of type (0,2) and the second fundamental form of the spheres or tubes and where acts as a derivation.
Characterizations of conformally flat hypersurfaces