A structure by conformal transformations of Finsler functions on the projectivized tangent bundle of Finsler spaces with the Chern connection.
A Study on -recurrence -curvature tensor in -contact metric manifolds
In this paper we study -recurrence -curvature tensor in-contact metric manifolds.
A Sufficient Condition for a Compact Immersion to be Spherical.
A sufficient condition for the convexity of the area of an isoptic curve of an oval
A survey on axioms of submanifolds in Riemannian and Kaehlerian geometry
A survey on Nambu-Poisson brackets.
A survey on the Hawking – Penrose theory
A symplectic reduction for pseudo-Riemannian manifolds with compatible almost product structures.
A Symplectic Rigidity Theorem.
A Tensorial Curvature and a Theorem of Chern.
A theorem on metric polynomial structures
A Twistor Description of Harmonic Maps of a 2-Sphere into a Grassmannian.
A two-step Monge-Ampère procedure for solving a fourth order PDE for affine hypersurfaces with constant curvature.
A typical convex surface contains no closed geodesic.
A unified approach to compact symmetric spaces of rank one
A relatively simple algebraic framework is given, in which all the compact symmetric spaces can be described and handled without distinguishing cases. We also give some applications and further results.
A unified approach to some theorems on homogeneous Riemannian and affine spaces
A universal bound for lower Neumann eigenvalues of the Laplacian
Let be an -dimensional () simply connected Hadamard manifold. If the radial Ricci curvature of is bounded from below by with respect to some point , where is the Riemannian distance on to , is a nonpositive continuous function on , then the first nonzero Neumann eigenvalues of the Laplacian on the geodesic ball , with center and radius , satisfy where is the solution to
A Universal Proper G-Space.
A Useful Characterization of Some Real Hypersurfaces in a Nonflat Complex Space Form
We characterize totally η-umbilic real hypersurfaces in a nonflat complex space form M̃ₙ(c) (= ℂPⁿ(c) or ℂHⁿ(c)) and a real hypersurface of type (A₂) of radius π/(2√c) in ℂPⁿ(c) by observing the shape of some geodesics on those real hypersurfaces as curves in the ambient manifolds (Theorems 1 and 2).
A Variational Proof of the Gauss-Bonnet Formula.