Immersions with Parallel Second Fundamental Form.
Impossible Einstein-Weyl geometries
In the joint paper of the author with K. P. Tod [J. Reine Angew. Math. 491, 183-198 (1997; Zbl 0876.53029)] they showed all local solutions of the Einstein-Weyl equations in three dimensions, where the background metric is homogeneous with unimodular isometry group. In particular, they proved that there are no solutions with Nil or Sol as background metric. In this note, these two special cases are presented.
Improper affine spheres and δ-invariants
We introduce an inequality for graph hypersurfaces and prove a decomposition theorem in case equality holds.
Incidence Axioms for the Boundary at Infinity of Complex Hyperbolic Spaces
We characterize the boundary at infinity of a complex hyperbolic space as a compact Ptolemy space that satisfies four incidence axioms.
Inclusion Relations Between some Clases of Almost Hermite Manifolds
Indefinite affine hyperspheres admitting a pointwise symmetry. I.
Indefinite affine hyperspheres admitting a pointwise symmetry. II.
Indefinite almost paracontact metric manifolds.
Indefinite Kähler Manifolds.
Independence structures in the geometry of orders.
Index invariants of orbit spaces.
Indice d'un hérisson: étude et applications.
Hedgehogs are a natural generalization of convex bodies of class C+2. After recalling some basic facts concerning this generalization, we use the notion of index to study differential and integral geometries of hedgehogs.As applications, we prove a particular case of the Tennis Ball Theorem and a property of normals to a plane convex body of constant width.
Induced And Intinsic Curvature Tensors Of A Subspace In The Finsler Space
Induced and intrinsic curvature tensors of a subspace in the Finsler space.
Induced Generalized Connections in Vector Subbundles
Induced invariant Finsler metrics on quotient groups.
Induced vector fields and metric transformations.
Inégalité de Sobolev et volume asymptotique
En 1999, M. Ledoux a démontré qu’une variété complète à courbure de Ricci positive ou nulle vérifiant une inégalité de Sobolev euclidienne était euclidienne. On présente un raccourci de la preuve. De plus nos arguments permettent un raffinement d’un résultat de B-L. Chen et X-P. Zhu à propos des variétés localement conformément plate à courbure de Ricci positive ou nulle. Enfin, on étudie ce qui se passe lorsque l’hypothèse sur la courbure de Ricci est remplacée par une hypothèse sur la courbure...
Inégalité de Wente et ses applications aux -surfaces
Inégalité isopérimétrique en dimension 3 d'après B. Kleiner