An explicit determination of the Petrov type D spacetimes on which Weyl's neutrino equation and Maxwell's equations satisfy Huygens' principle
An explicite description of harmonic measure.
An extension of a flat Koszul connection being a Maurer-Cartan form.
An extension of a result of H. Hopf to Kähler submanifolds of
An extension of a theorem concerning conformal pseudo-Riemannian metrics. (Une extension d'un théorème concernant les métriques pseudoriemanniennes conformes.)
An Extension of Calabi's Rigidity theorem to complex submanifolds of indefinite complex space forms.
An Extrinsic Rigity Theorem for Minimal Surfaces in S3.
An -system for a revolution surface without boundary.
An improved Chen-Ricci inequality for special slant submanifolds in Kenmotsu space forms
B. Y. Chen [Arch. Math. (Basel) 74 (2000), 154-160] proved a geometrical inequality for Lagrangian submanifolds in complex space forms in terms of the Ricci curvature and the squared mean curvature. Recently, this Chen-Ricci inequality was improved in [Int. Electron. J. Geom. 2 (2009), 39-45]. On the other hand, K. Arslan et al. [Int. J. Math. Math. Sci. 29 (2002), 719-726] established a Chen-Ricci inequality for submanifolds, in particular in contact slant submanifolds, in Kenmotsu...
An index inequality for embedded pseudoholomorphic curves in symplectizations
Let be a surface with a symplectic form, let be a symplectomorphism of , and let be the mapping torus of . We show that the dimensions of moduli spaces of embedded pseudoholomorphic curves in , with cylindrical ends asymptotic to periodic orbits of or multiple covers thereof, are bounded from above by an additive relative index. We deduce some compactness results for these moduli spaces. This paper establishes some of the foundations for a program with Michael Thaddeus, to understand...
An Inequality between the Exterior Diameter and the Mean Curvature of Bounded Immersions.
An inequality for symplectic fillings of the link of a hypersurface K3 singularity
Some relations between normal complex surface singularities and symplectic fillings of the links of the singularities are discussed. For a certain class of singularities of general type, which are called hypersurface K3 singularities in this paper, an inequality for numerical invariants of any minimal symplectic fillings of the links of the singularities is derived. This inequality can be regarded as a symplectic/contact analog of the 11/8-conjecture in 4-dimensional topology.
An inequality for the rank of a web and webs of maximum rank
An inequality for totally real surfaces in complex space forms
An infinite dimensional version of the third Lie theorem
The concept of evolution operator is used to introduce a weak Lie subgroup of a regular Lie group, and to give a new version of the third Lie theorem. This enables the author to formulate and to study the problem of integrability of infinite-dimensional Lie algebras. Several interesting examples are presented.
An infinite family of tight, not semi-fillable contact three-manifolds.
An integrable flow on a family of Hilbert Grassmannians.
An integral equation in conformal geometry
An integral formula for a Riemannian manifold with two orthogonal complementary distributions
An integral formula for closed surfaces and a generalization of -theorem