A Note on Curvature-like Invariants of Some Connections on Locally Decomposable Spaces
A note on equichordal graphs
A note on Euclidean spheres.
A note on extremal functions for sharp Sobolev inequalities.
A note on Fiedler-Moravek combinatorial problem
A note on flat noncommutative connections
It is proven that every flat connection or covariant derivative ∇ on a left A-module M (with respect to the universal differential calculus) induces a right A-module structure on M so that ∇ is a bimodule connection on M or M is a flat differentiable bimodule. Similarly a flat hom-connection on a right A-module M induces a compatible left A-action.
A note on generalized flag structures
Generalized flag structures occur naturally in modern geometry. By extending Stefan's well-known statement on generalized foliations we show that such structures admit distinguished charts. Several examples are included.
A Note on Generalized Recurrent Riemannian Manifold
A note on geodesic mappings of pseudosymmetric Riemannian manifolds
A Note on Hamiltonian Lie Group Actions and Massey Products
We show that the property of having only vanishing triple Massey products in equivariant cohomology is inherited by the set of fixed points of hamiltonian circle actions on closed symplectic manifolds. This result can be considered in a more general context of characterizing homotopic properties of Lie group actions. In particular it can be viewed as a partial answer to a question posed by Allday and Puppe about finding conditions ensuring the "formality" of G-actions.
A note on homogeneous production models
A note on -curvature planes.
A note on n-ary Poisson brackets
An -ary Poisson bracket (or generalized Poisson bracket) on the manifold is a skew-symmetric -linear bracket of functions which is a derivation in each argument and satisfies the generalized Jacobi identity of order , i.e.,
A note on ovals and their evolutoides.
A note on Poisson-Lie algebroids. I.
A note on proper conformal vector fields in Bianchi type I space-times.
A Note on Rakić Duality Principle for Osserman Manifolds
A note on Ricci flow and optimal transportation
We describe a new link between Perelman’s monotonicity formula for the reduced volume and ideas from optimal transport theory.
A note on secantoptics.
A note on smooth toral reductions of spheres.