A surface which has a family of geodesics of curvature.
A survey of boundary value problems for bundles over complex spaces
Let be a reduced -dimensional complex space, for which the set of singularities consists of finitely many points. If denotes the set of smooth points, the author considers a holomorphic vector bundle , equipped with a Hermitian metric , where represents a closed analytic subset of complex codimension at least two. The results, surveyed in this paper, provide criteria for holomorphic extension of across , or across the singular points of if . The approach taken here is via the metric...
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 Symbolic Dynamics for Geodesics on Punctured Riemann Surfaces.
A symmetry problem in the calculus of variations
We consider the integral functional , , where , , is a nonempty bounded connected open subset of with smooth boundary, and is a convex, differentiable function. We prove that if admits a minimizer in depending only on the distance from the boundary of , then must be a ball.
A symplectic approach to van den Ban's convexity theorem.
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 theory on non-developable generalized ruled surfaces in the elliptic space
A Tour Through -invariants: from Nash’s Embedding Theorem to Ideal Immersions, Best Ways of Living and Beyond
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 unified construction of the Alexander- and the Jones-invariant