A Global Moduli Space of Ample Subvarieties on Compact Kähler Manifolds with Very Strongly Negative Curvature.
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 holomorphic representation formula for parabolic hyperspheres
A holomorphic representation formula for special parabolic hyperspheres is given.
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 Liouville type theorem for -harmonic functions on minimal submanifolds in
A local analytic splitting of the holonomy map on flat connections.
A local characterization of affine holomorphic immersions with an anti-complex and ∇-parallel shape operator
We study the complex hypersurfaces which together with their transversal bundles have the property that around any point of M there exists a local section of the transversal bundle inducing a ∇-parallel anti-complex shape operator S. We give a class of examples of such hypersurfaces with an arbitrary rank of S from 1 to [n/2] and show that every such hypersurface with positive type number and S ≠ 0 is locally of this kind, modulo an affine isomorphism of .
A local modification to monopole equations in 8-dimension.
A locally symmetric Kähler Einstein structure on the cotangent bundle of a space form.
A locally symmetric Kähler Einstein structure on the tangent bundle of a space form.
A logarithmic Gauss curvature flow and the Minkowski problem
À l'ombre de Loewner
A lossless reduction of geodesics on supermanifolds to non-graded differential geometry
Let be a smooth supermanifold with connection and Batchelor model . From we construct a connection on the total space of the vector bundle . This reduction of is well-defined independently of the isomorphism . It erases information, but however it turns out that the natural identification of supercurves in (as maps from to ) with curves in restricts to a 1 to 1 correspondence on geodesics. This bijection is induced by a natural identification of initial conditions for geodesics...