Providing an up-to-date overview of the geometry of manifolds with non-negative sectional curvature, this volume gives a detailed account of the most recent research in the area. The lectures cover a wide range of topics such as general isometric group actions, circle actions on positively curved four manifolds, cohomogeneity one actions on Alexandrov spaces, isometric torus actions on Riemannian manifolds of maximal symmetry rank, n-Sasakian manifolds, isoparametric hypersurfaces in spheres, contact CR and CR submanifolds, Riemannian submersions and the Hopf conjecture with symmetry. Also included is an introduction to the theory of exterior differential systems.
The first part of this paper constructs a class of naturally reductive metrics on compact Lie groups and shows that all naturally reductive left invariant metrics are of this type if the group is simple. The second part analyzes the question of when these metrics are Einstein and gives many new examples. In doing this, certain facts are established about the ratios of the Killing forms of a Lie algebra and a subalgebra. Finally, some results are obtained for noncompact groups and more general compact homogeneous spaces.
Expanded to twice as many entries as the 1985 edition, and updated with new publications, new editions of previous entries, titles missed the first time around, more of the artists' own writings, and monographs that deal with significant aspects or portions of an artist's work though not all of it. The listing is alphabetical by artist, and the index by author. The works cited include analytical and critical, biographical, and enumerative; their formats range from books and catalogues raisonnes to exhibition and auction sale catalogues. A selection of biographical dictionaries containing information on artists is arranged by country. Annotation copyrighted by Book News, Inc., Portland, OR
In a period of rapid cultural shifts, changing populations and new ideologies take hold and reshape political agendas and norms in the West. It is against this backdrop that Wolfgang Brezinka presents his controversial take on the impact these changes have made on the public education landscape. Offering his views on the historical context behind these cultural shifts, Brezinka argues for the development of moral and values education in the West and discusses the conflicting roles migration, divergent ideologies, and other factors have had to play. Focusing on pedagogy and policy, Brezinka puts forth a provocative perspective on the relationship between pluralism, tradition, and the future of education.
The textbook introduces the self-understanding, institutional structure and practice of the political system of the Federal Republic of Germany. The work provides a problem-oriented overview of the basic constitutional and foreign policy decisions that have constituted German democracy; the political field of forces formed by interest groups, citizens' initiatives, parties and mass media; the political institutions at the federal, state and local levels; the social reach and administrative enforcement of political decisions; the political culture including the structure of the political ruling class. The new edition also addresses, among other things, the consequences of the Corona crisis for the political system, the changing party system and the crisis of the EU after the 2021 federal election.
Are you looking for sense and meaning in your work? Would you like to be successful but expect more in the way of reward and fulfilment than just a paycheque? The Future Makers offers 23 encouraging responses to these questions. It tells the diverse stories of people from around the world who have made a sustainable mark on the world through their careers: from an American financial market specialist to tree planters in Africa; from Japanese environmental experts to dancers in Argentina. The Future Makers are people who make the world a better, more beautiful and livable place for current and coming generations. The Hafenmayers present these inspiring stories in an accessible, entertaining and thoughtful way. But they also do far more. The book presents a toolkit on how you can forge a career that has a positive impact on the world. This step-by-step process has already had a life-changing impact on readers of the original German edition. It is packed with helpful suggestions for personal development and reorientation – for a work life that will make you happier and deeply satisfied. The Future Makers takes you on a journey to people whose values and visions aren't compartmentalized into corners of their lives. They live their dreams every day. This book will show you how you can do the same.
The shared platform of the articles collected in this volume is usedto advocate a dynamical systems approach to cognition. It is arguedthat recent developments in cognitive science towards an account ofembodiment, together with the general approach of complexity theoryand dynamics, have a major impact on behavioral and cognitivescience.
This carefully written book is an introduction to the beautiful ideas and results of differential geometry. The first half covers the geometry of curves and surfaces, which provide much of the motivation and intuition for the general theory. The second part studies the geometry of general manifolds, with particular emphasis on connections and curvature. The text is illustrated with many figures and examples. The prerequisites are undergraduate analysis and linear algebra. This new edition provides many advancements, including more figures and exercises, and--as a new feature--a good number of solutions to selected exercises.
At three in the morning I crept out of Carlsbad, they wouldn't have let me go if I hadn't. I wasn't going to be stopped, for it was time.' This is the authentic day-to-day record never before translated, of the first eight weeks of freedom as Germany's greatest poet heads for the Italy he has been yearning to see since childhood. Leaving behind the growing frustrations of administrative work, a difficult love-affair, and lack of time to write, he discovers himself again as a sensuous being and an artist. His fresh and spontaneous notes, sometimes dashed down at crowded tables in primitive Italian inns, bring together art and nature, Antiquity and the Renaissance, aesthetics and science, observations of climate, rocks, plants, and the Italian people, in an unpremeditated mixture through which the poet's mature vision of the natural and human world can be seen taking shape. Goethe's Italian diary brings us close to a great European writer at a turning-point in his life. ABOUT THE SERIES: For over 100 years Oxford World's Classics has made available the widest range of literature from around the globe. Each affordable volume reflects Oxford's commitment to scholarship, providing the most accurate text plus a wealth of other valuable features, including expert introductions by leading authorities, helpful notes to clarify the text, up-to-date bibliographies for further study, and much more.
A fresh alternative to traditional state-centred analyses of the process of European integration is presented in this book. World-renowned scholars analyze the state in terms of its component parts and clearly show the interaction of subnational, national and supranational actors in the emerging European polity. This `multi-level politics′ approach offers a powerful lens through which to view the future course of European integration. The contributors′ empirical exploration of areas such as regional governance, social policy and social movements underpins their broad conceptual and theoretical framework providing significant new insight into European politics.
The writing is superb... each (Nelles) guide is delightfully comprehensive, a solid source of reliable information for the traveller... All travel guides claim to be comprehensive, but we found Nelles Guides superior". -- Arizona Senior World "(The Nelles Guides are) . . . beautifully photographed . . . the maps are better than Insight's, and practical information is integrated with the text, not relegated to the end". -- National Geographic Traveller -- Quality writing, often by native writers -- Detailed sections on the history, culture, special features and festivals -- Accommodations, restaurant guides, sights to see, places to shop, how to get around
The first part of this paper constructs a class of naturally reductive metrics on compact Lie groups and shows that all naturally reductive left invariant metrics are of this type if the group is simple. The second part analyzes the question of when these metrics are Einstein and gives many new examples. In doing this, certain facts are established about the ratios of the Killing forms of a Lie algebra and a subalgebra. Finally, some results are obtained for noncompact groups and more general compact homogeneous spaces.
Providing an up-to-date overview of the geometry of manifolds with non-negative sectional curvature, this volume gives a detailed account of the most recent research in the area. The lectures cover a wide range of topics such as general isometric group actions, circle actions on positively curved four manifolds, cohomogeneity one actions on Alexandrov spaces, isometric torus actions on Riemannian manifolds of maximal symmetry rank, n-Sasakian manifolds, isoparametric hypersurfaces in spheres, contact CR and CR submanifolds, Riemannian submersions and the Hopf conjecture with symmetry. Also included is an introduction to the theory of exterior differential systems.
This will help us customize your experience to showcase the most relevant content to your age group
Please select from below
Login
Not registered?
Sign up
Already registered?
Success – Your message will goes here
We'd love to hear from you!
Thank you for visiting our website. Would you like to provide feedback on how we could improve your experience?
This site does not use any third party cookies with one exception — it uses cookies from Google to deliver its services and to analyze traffic.Learn More.