For almost all Riemannian metrics (in the $C^\infty$ Baire sense) on a closed manifold $M^{n+1}$,
$3\le (n+1)\le 7$, we prove that the union of all closed, smooth, embedded minimal …

In this paper, we prove (1): for any closed contact three-manifold with a $C^\infty$-generic
contact form, the union of periodic Reeb orbits is dense, (2): for any closed surface with a $C^\…

Since December 2019, a novel coronavirus (severe acute respiratory syndrome‐coronavirus
2 (SARS‐CoV‐2)) infection has been rapidly spreading worldwide and causing the …

We prove a $${C^\infty}$$ C ∞ closing lemma for Hamiltonian diffeomorphisms of closed
surfaces. This is a consequence of a $${C^\infty}$$ C ∞ closing lemma for Reeb flows on …

The aim of this article is to define a chain level refinement of the Batalin–Vilkovisky (BV)
algebra structure on the homology of the free loop space of a closed, oriented $C^\infty$ -…

For any nonempty, compact and fiberwise convex set $K$ in $T^*\mathbb{R}^n$, we prove
an isomorphism between symplectic homology of $K$ and a certain relative homology of …

Background: Osimertinib demonstrated promising efficacy for refractory leptomeningeal
metastases (LM) in preclinical data and a clinical study at 160 mg, but there is limited data for the …

We prove that, for a $C^\infty$-generic contact form $\lambda$ adapted to a given contact
distribution on a closed three-manifold, there exists a sequence of periodic Reeb orbits which …

We introduce a notion of strong closing property of contact forms, inspired by the C ∞ \documentclass[12pt]{minimal}
\usepackage{amsmath} \usepackage{wasysym} \usepackage{…

Monitoring of cells in vivo after transplantation could supply important information for
determining the efficacy of stem cell therapy. The use of quantum dots (QDs) has several …