Deformations of asymptotically cylindrical coassociative submanifolds with fixed boundary.
Deformations of Batalin-Vilkovisky algebras
We show that a graded commutative algebra A with any square zero odd differential operator is a natural generalization of a Batalin-Vilkovisky algebra. While such an operator of order 2 defines a Gerstenhaber (Lie) algebra structure on A, an operator of an order higher than 2 (Koszul-Akman definition) leads to the structure of a strongly homotopy Lie algebra (-algebra) on A. This allows us to give a definition of a Batalin-Vilkovisky algebra up to homotopy. We also make a conjecture which is a...
Deformations of Lie brackets: cohomological aspects
We introduce a new cohomology for Lie algebroids, and prove that it provides a differential graded Lie algebra which “controls” deformations of the structure bracket of the algebroid.
Deformations of Metrics and Biharmonic Maps
We construct biharmonic non-harmonic maps between Riemannian manifolds and by first making the ansatz that be a harmonic map and then deforming the metric on by to render biharmonic, where is a smooth function with gradient of constant norm on and . We construct new examples of biharmonic non-harmonic maps, and we characterize the biharmonicity of some curves on Riemannian manifolds.
Deformations of minimal surfaces of containing planar geodesics
Deformations of plane pseudocongruences with projective connection
Deformations of representations of discrete subgroups of SO (3,1).
Deformations of Some ...-Structures.
Deformations of structures, embedding of a Riemannian manifold in a Kählerian one and geometric antigravitation
Tubular neighborhoods play an important role in modern differential topology. The main aim of the paper is to apply these constructions to geometry of structures on Riemannian manifolds. Deformations of tensor structures on a normal tubular neighborhood of a submanifold in a Riemannian manifold are considered in section 1. In section 2, this approach is used to obtain a Kählerian structure on the corresponding normal tubular neighborhood of the null section in the tangent bundle TM of a smooth manifold...
Deformations of the algebra of functions on hermitian symmetric spaces resulting from quantization
Deformations of vector fields and canonical coordinates on coadjoint orbits.
Deforming convex hypersurfaces by the square root of the scalar curvature.
Deforming Hypersurfaces of the Sphere by Their Mean Curvature.
Deforming metrics of foliations
Let M be a Riemannian manifold equipped with two complementary orthogonal distributions D and D ⊥. We introduce the conformal flow of the metric restricted to D with the speed proportional to the divergence of the mean curvature vector H, and study the question: When the metrics converge to one for which D enjoys a given geometric property, e.g., is harmonic, or totally geodesic? Our main observation is that this flow is equivalent to the heat flow of the 1-form dual to H, provided the initial 1-form...
Deforming the singly periodic genus-one helicoid.
Degenerate metrical -structure on vector bundles.
Degenerate neckpinches in mean curvature flow.
Degeneration of Riemann surfaces and intermediate polarization of the moduli space of flat connections.
Dégénerescence locale des transformations conformes pseudo-riemanniennes
Nous étudions l’ensemble Conf des immersions conformes entre deux variétés pseudo-riemanniennes et . Nous caractérisons notamment l’adhérence de Conf dans l’espace des applications continues , et décrivons quelques propriétés géométriques de lorsque cette adhérence est non triviale.
Degree Theory on Orientated Infinite Dimensional Varieties and the Morse Number of Minimal Surfaces Spanning a Curve.