Magnetic Curves in a Euclidean Space: One Example, Several Approaches
Magnetic fields generated by piecewise rectilinear configurations.
Magnetic flows and Gaussian thermostats on manifolds of negative curvature
We consider a class of flows which includes both magnetic flows and Gaussian thermostats of external fields. We give sufficient conditions for such flows on manifolds of negative sectional curvature to be Anosov.
Mainfolds with small excess and bounded curvature.
Manifolds admitting stable forms
In this note we give a direct method to classify all stable forms on as well as to determine their automorphism groups. We show that in dimensions 6, 7, 8 stable forms coincide with non-degenerate forms. We present necessary conditions and sufficient conditions for a manifold to admit a stable form. We also discuss rich properties of the geometry of such manifolds.
Manifolds carrying bounded quasiharmonic but no bounded harmonic functions.
Manifolds of almost nonnegative curvature
Manifolds of Dimension 3 with Prescribed Positive Curvature and with Nontrivial Homology.
Manifolds of mappings between open manifolds
Manifolds of nonpositive curvature and their buildings
Manifolds with Geodesic Chords of Constant Length.
Manifolds with quadratic curvature decay and slow volume growth
Manifolds with singularities accepting a metric of positive scalar curvature.
Manifolds with strong harmonic boundaries but without Green's functions of clamped bodies
Manifolds with wells of negative curvature (with an Appendix by Daniel Ruberman).
Manifolds without Conjugate Points.
Mannheim offsets of ruled surfaces.
Mappings of domains in and their metric tensors.
Maps between almost Kähler manifolds and framed -manifolds.
Maps of manifolds with indefinite metrics preserving certain geometrical entities.