Abstract This note provides an affirmative answer to a question of Viterbo concerning the existence nondiffeomorphic contact forms that share same Reeb vector field. Starting from observation by Croke–Kleiner and Abbondandolo such define total volume, we discuss various related issues for wider class geodesible fields. In particular, Euler field in associated basic cohomology give topological c...

Abstract We investigate a systematic formulation of vector-tensor theories based on the effective field theory (EFT) approach. The input our EFT is that spacetime symmetry spontaneously broken by existence preferred timelike direction in accordance with cosmological principle. After clarifying difference breaking pattern from conventional inflation/dark energy, we find an description around bac...

ThesubmanifoldsofSasakianmanifoldswithaconcurrentvectorfieldhavebeen studied. Applications of such submanifolds to Ricci solitons and Yamabe has also been showed.

A bstract We use the background field method to systematically derive CFT data for critical ϕ 6 vector model in three dimensions, and Gross-Neveu dimensions 2 ≤ d 4. Specifically, we calculate OPE coefficients anomalous of various operators, up next-to-leading order 1/ N expansion.

We investigate the number of limit cycles of a planar quadratic vector field with a perturbed center-like singular point. An upper bound is obtained on the number of δ-good limit cycles of such a vector field (Theorem 1). Here δ is a parameter characterizing the limit cycles: it shows how far those cycles are from the singular points of the vector field and from the infinite points. The bound a...