Stability of Critical Values and Isolated Critical Continua.
Stability of Tangential Locally Conformal Symplectic Forms
In this paper we firstly define a tangential Lichnerowicz cohomology on foliated manifolds. Next, we define tangential locally conformal symplectic forms on a foliated manifold and we formulate and prove some results concerning their stability.
Stability of the Cut Locus in Dimensions Less Than or Equal to 6.
Stability of the equator map.
Stability of Transversality to a Stratification Implies Whitney (a)-Regularity.
Stability results for Harnack inequalities
We develop new techniques for proving uniform elliptic and parabolic Harnack inequalities on weighted Riemannian manifolds. In particular, we prove the stability of the Harnack inequalities under certain non-uniform changes of the weight. We also prove necessary and sufficient conditions for the Harnack inequalities to hold on complete non-compact manifolds having non-negative Ricci curvature outside a compact set and a finite first Betti number or just having asymptotically...
Stable Classification of Infinite-Dimensional Manifolds by Homotopy-Type.
Stable defects of minimizers of constrained variational principles
Stable harmonic maps between Finsler manifolds and Riemannian manifolds with positive Ricci curvature
We study the stability of harmonic maps between Finsler manifolds and Riemannian manifolds with positive Ricci curvature, and we prove that if Mⁿ is a compact Einstein Riemannian minimal submanifold of a Riemannian unit sphere with Ricci curvature satisfying , then there is no non-degenerate stable harmonic map between M and any compact Finsler manifold.
Stable Harmonic Maps from Pinched Manifolds.
Stable mappings of 3-manifolds into the plane
Stable minimal cones in and with constant scalar curvature.
Stable surfaces in Euclidean three space.
Steady-state bifurcations of the three-dimensional Kolmogorov problem.
Sternberg's structure function of differential systems in dimension five
Stochastic calculus and martingales on trees
Stochastic calculus, statistical asymptotics, Taylor strings and phyla
Stochastic differential inclusions of Langevin type on Riemannian manifolds
We introduce and investigate a set-valued analogue of classical Langevin equation on a Riemannian manifold that may arise as a description of some physical processes (e.g., the motion of the physical Brownian particle) on non-linear configuration space under discontinuous forces or forces with control. Several existence theorems are proved.
Stochastic methods and differential geometry
Stochastic parallel transport and connections of
In this paper we prove that there is a bijective correspondence between connections of , the principal bundle of the second order frames of , and stochastic parallel transport in the tangent space of . We construct in a direct geometric way a prolongation of connections without torsion of to connections of . We interpret such prolongation in terms of stochastic calculus.