A generalized plane wave metric
A geodesic completeness theorem for locally symmetric Lorentz manifolds.
We prove that a locally symmetric and a null-complete Lorentz manifold is geodetically complete.
A Geometric Algebraicity Property for Moduli Spaces of Compact Kähler Manifolds with h 2, 0 = 1.
A geometric characterization of Finsler manifolds of constant curvature .
A Geometric Characterization of Harmonic Diffeomorphisms Between Surfaces.
A geometric characterization of helicoidal surfaces of constant mean curvature.
A geometric characterization of the orbits of s-representations.
A geometric construction of (para)-pluriharmonic maps into .
A geometric estimate for a periodic Schrödinger operator
We estimate from below by geometric data the eigenvalues of the periodic Sturm-Liouville operator with potential given by the curvature of a closed curve.
A geometric problem and the Hopf Lemma. I
A classical result of A. D. Alexandrov states that a connected compact smooth -dimensional manifold without boundary, embedded in , and such that its mean curvature is constant, is a sphere. Here we study the problem of symmetry of in a hyperplane in case satisfies: for any two points , on , with , the mean curvature at the first is not greater than that at the second. Symmetry need not always hold, but in this paper, we establish it under some additional condition for . Some variations...
A Geometric Property of Central Elements.
A Geometric Realization of
A geometric space without conjugate points.
A geometrical analysis of the field equations in field theory.
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.