Differentiable Manifolds and Geometric Structures

Dear Colleagues,

Differentiable manifolds endowed with a metric tensor and various compatible polynomial structures, such as product, complex, and quaternionic structures, have been intensively studied from different points of view. An important problem in the theory of submanifolds of manifolds with certain polynomial structures involves the provision of optimal inequalities which relate extrinsic to intrinsic curvature invariants. Examples of geometrical objects that can also provide information about the geometry of a Riemannian manifold are the distinguished vector fields, such as geodesic, Killing, concircular, and conformal vector fields.

This Special Issue aims to collect reviews or original research papers on various topics concerning the geometry of differentiable manifolds and their submanifolds. Such topics include, but are not limited to, the following: manifolds with polynomial structures, (pseudo)-Riemannian metrics, and affine connections; distributions, foliations, and submanifolds; distinguished vector fields, vector bundles, and fiber bundles.

Dr. Adara M. Blaga
Guest Editor

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