A basic inequality of submanifolds in quaternionic space forms.
A certain tensor on real hypersurfaces in a nonflat complex space form
In a nonflat complex space form (namely, a complex projective space or a complex hyperbolic space), real hypersurfaces admit an almost contact metric structure induced from the ambient space. As a matter of course, many geometers have investigated real hypersurfaces in a nonflat complex space form from the viewpoint of almost contact metric geometry. On the other hand, it is known that the tensor field
A characterization of a certain real hypersurface of type in a complex projective space
In the class of real hypersurfaces isometrically immersed into a nonflat complex space form of constant holomorphic sectional curvature which is either a complex projective space or...
A characterization of a minimal submanifold in
A Characterization of Affine Cylinders.
A Characterization of n-Spheres in Space Forms and Its Complex Analogue.
A class of complex hypersurfaces
A class of projectively flat surfaces.
A classification of 2-type curves in the Minkowski space .
A Classification of 2-type Curves in the Minkowski Space E1n
A Divergence Theorem for Finlser Metrics.
A general optimal inequality for arbitrary Riemannian submanifolds.
A New Formula for the Shape Operator of a Geodesic Sphere and Its Applications.
A note on homogeneous production models
Affine surfaces with parallel shape operators
We study affine nondegenerate Blaschke hypersurfaces whose shape operators are parallel with respect to the induced Blaschke connections. We classify such surfaces and thus give an exact classification of extremal locally symmetric surfaces, first described by F. Dillen.
Application of spaces of subspheres to conformal invariants of curves and canal surfaces
We review some techniques from the Möbius geometry of curves and surfaces in the 3-sphere, consider canal surfaces using their characteristic circles, and express the conformal curvature, and conformal torsion, of a vertex-free space curve in terms of its corresponding curve of osculating circles, and osculating spheres, respectively. We accomplish all of this strictly within the framework of Möbius geometry, and compare our results with the literature. Finally, we show how our formulation allows...