Studies Hardy spaces on C 1 and Lipschitz domains in Riemannian manifolds. The author establishes this theorem in any dimension if the domain is C 1 in case of a Lipschitz domain the result holds if dim M le 3 . The remaining cases for Lipschitz domains remain open... Lees meer.

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This book deals with the geometrical structure of finite dimensional normed spaces as the dimension grows to infinity. This book deals with the geometrical structure of finite dimensional normed spaces as the dimension grows to infinity. This is a part of what came... Lees meer.

This book is an English translation of the famous Green Book by Lafontaine and Pansu 1979 . It has been enriched and expanded with new material to reflect recent progress. Metric theory has undergone a dramatic phase transition in the last decades when its focus mo... Lees meer.

Several books deal with Sobolev spaces on open subsets of R n but none yet with Sobolev spaces on Riemannian manifolds despite the fact that the theory of Sobolev spaces on Riemannian manifolds already goes back about 20 years. Several books deal with Sobolev spac... Lees meer.

Mathematics develops both due to demands of other sciences and due to its internal logic. As a result there were found numerous connections of constant curvature spaces with other branches of mathematics for example with integrable partial dif- 1 ferential equations... Lees meer.

This monograph deals with recent questions of conformal geometry. It provides in detail an approach to studying moduli spaces of conformal structures using a new canonical metric for conformal structures. This book is accessible to readers with basic knowledge in diffe... Lees meer.

This book studies certain spaces of Riemannian metrics on both compact and non-compact manifolds. These spaces are defined by various sign-based curvature conditions with special attention paid to positive scalar curvature and non-negative sectional curvature though w... Lees meer.

In this monograph on twistor theory and its applications to harmonic map theory a central theme is the interplay between the complex homogeneous geometry of flag manifolds and the real homogeneous geometry of symmetric spaces. In this monograph on twistor theory and... Lees meer.

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Presents an area of mathematical research that combines topology geometry and logic. This book seeks to explain and illustrate the implications of the general principle first emphasized by Alex Nabutovsky that logical complexity engenders geometric complexity. Th... Lees meer.