Maximum principle for hypersurfaces.
Maximum principles and minimal surfaces
Maximum principles and nonexistence results for minimal submanifolds.
Maximum Principles for Minimal Surfaces and for Surfaces of Continuous Mean Curvature.
Maximum Principles for Minimal surfaces in R3 Having noncompact boundary and a uniqueness theorem for the helicoid.
Maxwell strata in sub-Riemannian problem on the group of motions of a plane
The left-invariant sub-Riemannian problem on the group of motions of a plane is considered. Sub-Riemannian geodesics are parameterized by Jacobi's functions. Discrete symmetries of the problem generated by reflections of pendulum are described. The corresponding Maxwell points are characterized, on this basis an upper bound on the cut time is obtained.
Maxwell's equations in the Debye potential formalism
Mean and scalar curvature homogeneous Riemannian manifolds.
Mean curvature and shape operator of slant immersions in a Sasakian space form.
Mean curvature comparison for tubular hypersurfaces in Kähler manifolds and some applications
Mean curvature comparison for tubular hypersurfaces in symmetric spaces.
Mean curvature flow and self-similar submanifolds
Mean curvature functions for codimension-one foliations with all leaves compact
Mean curvature functions of codimension-one foliations.
Mean curvature functions of codimension-one foliations. II.
Mean curvature vector and symplectic topology of Lagrangian submanifolds in Einstein-Kähler manifolds.
Mean directionally curved lines on surfaces immersed in R4.
The notion of principal configuration of immersions of surfaces into R3, due to Sotomayor and Gutierrez [16] for lines of curvature and umbilics, is extended to that of mean directional configuration for immersed surfaces in R4. This configuration consists on the families of mean directionally curved lines, along which the second fundamental form points in the direction of the mean curvature vector, and their singularities, called here H-singularities.
Means in complete manifolds: uniqueness and approximation
Let M be a complete Riemannian manifold, M ∈ ℕ and p ≥ 1. We prove that almost everywhere on x = (x1,...,xN) ∈ MN for Lebesgue measure in MN, the measure μ ( x ) = 1 N ∑ k = 1 N δ x k has a uniquep–mean ep(x). As a consequence, if X = (X1,...,XN) is a MN-valued random variable with absolutely continuous law, then almost surely μ(X(ω)) has a unique p–mean. In particular if (Xn)n ≥ 1 is an independent sample of an absolutely continuous law in M, then the process ep,n(ω) = ep(X1(ω),...,Xn(ω)) is...
Measurability of classes of Lipschitz manifolds with respect to Borel -algebra of Vietoris topology
Measured geodesic laminations in Flatland
Since their introduction by Thurston, measured geodesic laminations on hyperbolic surfaces occur in many contexts. In this survey, we give a generalization of geodesic laminations on surfaces endowed with a half-translation structure (that is a singular flat surface with holonomy ), called flat laminations, and we define transverse measures on flat laminations similar to transverse measures on hyperbolic laminations, taking into account that the images of the leaves of a flat lamination are in...