Diffeomorphisms of Stein structures

We prove that a pseudoholomorphic diffeomorphism between two almost complex manifolds with boundaries satisfying some pseudoconvexity type condition cannot map a pseudoholomorphic disc in the boundary to a single point. This can be viewed as an almost complex analogue of a well-known theorem of J. E. Fornaess

Lineally convex domains of finite type: holomorphic support functions

Smooth bounded lineally convex domains of finite type constitute a natural class of domains in complex analysis, since they are locally biholomorphically invariant. A smooth family of holomorphic support functions is constructed by an almost explicit formula on every such domain. It satisfies the best possible estimates near the point of support on every two-dimensional transverse affine intersection with the domain. Together with a suitable pseudometric on these domains, it will allow to do precise quantitative complex analysis by integral kernels on them.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46643/1/229_2003_Article_418.pd

Inpatient Treatment of Community-Acquired Pneumonias with Integrative Medicine

Introduction. The aim of the presented observational case series was to evaluate the experience in treating patients with community-acquired pneumonia (CAP) within integrative medicine, particularly anthroposophic medicine in a well-experienced and specialized unit. Patients and Methods. Patients with proven CAP were evaluated (CAP-study group) based on a retrospective chart review. To estimate the severity of pneumonia, the pneumonia severity index (PSI) was applied. Treatment efficacy was evaluated regarding body temperature, CRP level, leukocytes blood count, the need to be treated on ICU, and mortality. Results were compared with the inpatient data of the Pneumonia PORT Validation Cohort. Results. 15/18 patients of the CAP-study group belonged to risk class groups I–III (low and moderate risk), 2 patients to risk class IV, and one patient to risk class V (severe pneumonia). 16/18 patients were treated with anthroposophic medicine only and 2/18 got additionally antibiotic therapy (both of risk class IV). A significant reduction of body temperature, CRP level, and leukocytes blood count has been obtained by applying anthroposophic medicine, while neither complications nor pneumonia-related death occurred. Compared with the control group there was no significant difference in mortality rate, whereby no patient had to be treated on the ICU, but the duration of hospital stay was significantly longer in the presented series. Conclusion. Inpatient treatment of CAP with anthroposophic medicine without the use of antibiotics may achieve reasonable results in selected cases. Additional larger sized prospective controlled trials should further clarify the role of AM in the treatment of CAP