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Molecular Basis of Membrane-Associated Diseases
Biological membranes are often effected by diseases. Molecular events leading to or arising from pathological changes in the course of different diseases are as yet not clearly understood. This competent study by leading experts covers changes of the cellular environment, membranes and the metabolic functions during tissue growth and differentiation as well as aspects of abnormal organelle function in lysosomal storage diseases, peroxisomal and mitochondrial disorders, enzyme defects and regulatory defects of receptors due to oncogenes.
Dirac Operators in Riemannian Geometry
For a Riemannian manifold M, the geometry, topology and analysis are interrelated in ways that have become widely explored in modern mathematics. Bounds on the curvature can have significant implications for the topology of the manifold. The eigenvalues of the Laplacian are naturally linked to the geometry of the manifold. For manifolds that admit spin structures, one obtains further information from equations involving Dirac operators and spinor fields. In the case of four-manifolds, for example, one has the remarkable Seiberg-Witten invariants. In this text, Friedrich examines the Dirac operator on Riemannian manifolds, especially its connection with the underlying geometry and topology of...
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Geometric Flows and the Geometry of Space-time
This book consists of two lecture notes on geometric flow equations (O. Schnürer) and Lorentzian geometry - holonomy, spinors and Cauchy Problems (H. Baum and T. Leistner) written by leading experts in these fields. It grew out of the summer school “Geometric flows and the geometry of space-time” held in Hamburg (2016) and provides an excellent introduction for students of mathematics and theoretical physics to important themes of current research in global analysis, differential geometry and mathematical physics
