A balanced proper modification of P3.
A basic inequality for submanifolds in a cosymplectic space form.
A basic inequality of submanifolds in quaternionic space forms.
A boundary rigidity problem for holomorphic mappings.
A boundary value problem in the hyperbolic space.
A bridge principle for minimal and constant mean curvature submanifolds of RN.
A brief introduction to the monopole
A brief review of supersymmetric non-linear sigma models and generalized complex geometry
This is a review of the relation between supersymmetric non-linear sigma models and target space geometry. In particular, we report on the derivation of generalized Kähler geometry from sigma models with additional spinorial superfields. Some of the results reviewed are: Generalized complex geometry from sigma models in the Lagrangian formulation; Coordinatization of generalized Kähler geometry in terms of chiral, twisted chiral and semi-chiral superfields; Generalized Kähler geometry from sigma...
A bumpy metric theorem and the Poisson relation for generic strictly convex domains.
A -theory for the blow-up of second order elliptic equations of critical Sobolev growth.
A canonical connection associated with certain -structures
A canonical connection on sub-Riemannian contact manifolds
We construct a canonically defined affine connection in sub-Riemannian contact geometry. Our method mimics that of the Levi-Civita connection in Riemannian geometry. We compare it with the Tanaka-Webster connection in the three-dimensional case.
A Canonical Form for Compact Nonpositively Curved Manifolds Whose Fundamental Groups Have Nontrivial Center.
A canonical metric for Möbius structures and its applications.
A Cartan-type result for invariant distances and one-dimensional holomorphic retracts.
We derive conditions under which a holomorphic mapping of a taut Riemann surface must be an automorphism. This is an analogue involving invariant distances of a result of H. Cartan. Using similar methods we prove an existence result for 1-dimensional holomorphic retracts in a taut complex manifold.
A case study of quantization of curves surfaces: The Myllar balloon
A certain complete space-like hypersurface in Lorentz manifolds.
A certain inversion problem for the ray transform with incomplete data.
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 Characteristic Eigenfunction for Minimal Hypersurfaces in Space Forms.