An inverse problem of the flux for minimal surfaces

An isoperimetric constant associated to horizons in $S^3$ blown-up at two points

An isospectral deformation on an orbifold quotient of a nilmanifold

An L^2-Index Theorem for Dirac Operators on S^1 * R^3

An Obata type result for the first eigenvalue of the sub-Laplacian on a CR manifold with a divergence free torsion

An obstruction for the mean curvature of a conformal immersion S^{n}-> R^{n+1}

An obstruction to asymptotic semistability and approximate critical metrics

An Obstruction to Quantizing Compact Symplectic Manifolds

An obstruction to the existence of constant scalar curvature Kähler metrics

An open four-manifold having no instanton

An Optimal Differentiable Sphere Theorem for Complete Manifolds

An optimal extension of Perelman's comparison theorem for quadrangles and its applications

An optimal gap theorem

An optimal inequality between scalar curvature and spectrum of the Laplacian

An optimal Loewner-type systolic inequality and harmonic one-forms of constant norm

An optimal matrix inequality and its applications to geometry of Riemannian submersions

An optimal systolic inequality for CAT(0) metrics in genus two

An Orbifold Relative Index Theorem

An Osserman-type condition on $g.f.f$-manifolds with Lorentz metric

An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach