A note on almost s-tangent structures
A note on Bochner type theorems for complete manifolds.
A note on characteristic classes
This paper studies the relationship between the sections and the Chern or Pontrjagin classes of a vector bundle by the theory of connection. Our results are natural generalizations of the Gauss-Bonnet Theorem.
A note on Chen's basic equality for submanifolds in a Sasakian space form.
A note on codimension-1 foliations
A Note on compact Kähler manifolds with Nef Tangent Bundles.
A note on conformal vector fields on a Riemannian manifold
We consider an n-dimensional compact Riemannian manifold (M,g) and show that the presence of a non-Killing conformal vector field ξ on M that is also an eigenvector of the Laplacian operator acting on smooth vector fields with eigenvalue λ > 0, together with an upper bound on the energy of the vector field ξ, implies that M is isometric to the n-sphere Sⁿ(λ). We also introduce the notion of φ-analytic conformal vector fields, study their properties, and obtain a characterization of n-spheres...
A note on constant geodesic curvature curves on surfaces
A note on equichordal graphs
A note on extremal functions for sharp Sobolev inequalities.
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 -curvature planes.
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.