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1. |
Record Nr. |
UNINA9910154752103321 |
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Autore |
Stoll Wilhelm |
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Titolo |
Invariant Forms on Grassmann Manifolds. (AM-89), Volume 89 / / Wilhelm Stoll |
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Pubbl/distr/stampa |
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Princeton, NJ : , : Princeton University Press, , [2016] |
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©1978 |
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ISBN |
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Descrizione fisica |
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1 online resource (128 pages) |
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Collana |
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Annals of Mathematics Studies ; ; 252 |
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Disciplina |
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Soggetti |
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Grassmann manifolds |
Differential forms |
Invariants |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Frontmatter -- CONTENTS -- PREFACE -- GERMAN LETTERS -- INTRODUCTION -- 1. FLAG SPACES -- 2. SCHUBERT VARIETIES -- 3. CHERN FORMS -- 4. THE THEOREM OF BOTT AND CHERN -- 5. THE POINCARÉ DUAL OF A SCHUBERT VARIETY -- 6. MATSUSHIMA'S THEOREM -- 7. THE THEOREMS OF PIERI AND GIAMBELLI -- APPENDIX -- REFERENCES -- INDEX -- Backmatter |
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Sommario/riassunto |
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This work offers a contribution in the geometric form of the theory of several complex variables. Since complex Grassmann manifolds serve as classifying spaces of complex vector bundles, the cohomology structure of a complex Grassmann manifold is of importance for the construction of Chern classes of complex vector bundles. The cohomology ring of a Grassmannian is therefore of interest in topology, differential geometry, algebraic geometry, and complex analysis. Wilhelm Stoll treats certain aspects of the complex analysis point of view.This work originated with questions in value distribution theory. Here analytic sets and differential forms rather than the corresponding homology and cohomology classes are considered. On the Grassmann manifold, the cohomology ring is isomorphic to the ring of differential forms invariant under the unitary group, and each cohomology class is determined by a family of analytic sets. |
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2. |
Record Nr. |
UNINA9910580204303321 |
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Autore |
Ge Leijiao |
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Titolo |
Situation Awareness for Smart Distribution Systems |
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Pubbl/distr/stampa |
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Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 |
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Descrizione fisica |
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1 online resource (214 p.) |
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Soggetti |
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History of engineering and technology |
Technology: general issues |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Sommario/riassunto |
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In recent years, the global climate has become variable due to intensification of the greenhouse effect, and natural disasters are frequently occurring, which poses challenges to the situation awareness of intelligent distribution networks. Aside from the continuous grid connection of distributed generation, energy storage and new energy generation not only reduces the power supply pressure of distribution network to a certain extent but also brings new consumption pressure and load impact. Situation awareness is a technology based on the overall dynamic insight of environment and covering perception, understanding, and prediction. Such means have been widely used in security, intelligence, justice, intelligent transportation, and other fields and gradually become the research direction of digitization and informatization in the future. We hope this Special Issue represents a useful contribution. We present 10 interesting papers that cover a wide range of topics all focused on problems and solutions related to situation awareness for smart distribution systems. We sincerely hope the papers included in this Special Issue will inspire more researchers to further develop situation awareness for smart distribution systems. We strongly believe that there is a need for more work to be carried out, and we hope this issue provides a useful open-access platform for the dissemination of new ideas. |
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