We show that a small neighborhood of a closed symplectic submanifold in a geometrically bounded aspherical symplectic manifold has nonvanishing symplectic homology. As a consequence, we establish the existence of contractible closed characteristics on any thickening of the boundary of the neighborhood. When applied to twisted geodesic flows on compact symplectically aspherical manifolds, this i...

We study the process of Primordial Black Holes (PBHs) production in novel framework, namely $\alpha$-attractor Galileon inflation (G-inflation) model. In our we take function as $G(\phi)=G_{I}(\phi)\left(1+G_{II}(\phi)\right)$, where part $G_{I}(\phi)$ is motivated from inflationary scenario its original non-canonical frame, and it ensures for model to be consistent with Planck 2018 observation...

This paper addresses a problem posed by Oxley (Matroid Theory, Cambridge University Press, Cambridge, 1992) for matroids.We shall show that ifG is a 2-connected graph which is not a multiple edge, and which has no K5-minor, then G has two edge-disjoint non-trivial bonds B for which G/B is 2-connected. © 2004 Elsevier Inc. All rights reserved. MSC: 05C38; 05C40; 05C70