A Geometry of Kähler Cones.
A geometry on the space of probabilities (II). Projective spaces and exponential families.
In this note we continue a theme taken up in part I, see [Gzyl and Recht: The geometry on the class of probabilities (I). The finite dimensional case. Rev. Mat. Iberoamericana 22 (2006), 545-558], namely to provide a geometric interpretation of exponential families as end points of geodesics of a non-metric connection in a function space. For that we characterize the space of probability densities as a projective space in the class of strictly positive functions, and these will be regarded as a...
A global characterization of jet bundles of -velocities and covelocities
A Global Moduli Space of Ample Subvarieties on Compact Kähler Manifolds with Very Strongly Negative Curvature.
A group action on Losev-Manin cohomological field theories
We discuss an analog of the Givental group action for the space of solutions of the commutativity equation. There are equivalent formulations in terms of cohomology classes on the Losev-Manin compactifications of genus moduli spaces; in terms of linear algebra in the space of Laurent series; in terms of differential operators acting on Gromov-Witten potentials; and in terms of multi-component KP tau-functions. The last approach is equivalent to the Losev-Polyubin classification that was obtained...
A Hadamard type theorem for the space-time.
A half-space type property in the Euclidean sphere
We study the notion of strong -stability for the context of closed hypersurfaces () with constant -th mean curvature immersed into the Euclidean sphere , where . In this setting, under a suitable restriction on the -th mean curvature , we establish that there are no -strongly stable closed hypersurfaces immersed in a certain region of , a region that is determined by a totally umbilical sphere of . We also provide a rigidity result for such hypersurfaces.
A Heat Semigroup Approach to Concentration on the Sphere and on a Compact Riemannian Manifold.
A Helmholtz-Lie Type Characterization of Ellipsoids, I .
A high-order helicity invariant and the Rokhlin theorem
A holomorphic representation formula for parabolic hyperspheres
A holomorphic representation formula for special parabolic hyperspheres is given.
A homological characterization of foliations consisting of minimal surfaces.
A Homotopy Classification οf Symplectic Immersions
A hyperbolic twistor space.
A journey between two curves.
A Kähler Einstein structure on the tangent bundle of a space form.
A K-theoretic relative index theorem and Callias-type Dirac operators.
A Kummer-type construction of self-dual 4-manifolds.
A Legendrian Thurston-Bennequin bound from Khovanov homology.
A Lie algebroid on the Wiener space.