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On n class of capacities on complex manifolds endowed with an hermitian structure and their relation to elliptic and hyperbolic quasiconformal mappings

Seria
Rozprawy Matematyczne tom/nr w serii: 166 wydano: 1980
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Warianty tytułu
Abstrakty
EN
CONTENTS

Introduction......................................................................................................................................... 5
 1. An outline of results.................................................................................................................. 5
 2. A fibre bundle model of elementary particles as a motivation
 for the capacities in question..................................................................................................... 9
 3. An example................................................................................................................................ 10
 4. A potential-theoretical motivation for the capacities in question..................................... 12
 5. Capacities and plurisubharmonic functions....................................................................... 14
 6. A homology approach and the general definition of capacity........................................... 16
 7. Finiteness and relations between capacities dependent on the chosen covering
 and independent of it.................................................................................................................... 19
 8. Behaviour under holomorphic and biholomorphic mappings......................................... 22
 9. Some lemmas on Riemann surfaces................................................................................. 25
 10. Comparison of the "complex" and "real" capacities in the case
 of Riemann surfaces................................................................................................................... 30
 11. Dependence on the universal covering manifold............................................................ 33
 12. Relation to elliptic and hyperbolic quasiconformal mappings...................................... 36
 13. Mathematical and physical conclusions............................................................................ 39

References......................................................................................................................................... 41
Słowa kluczowe
Tematy
Miejsce publikacji
Warszawa
Copyright
Seria
Rozprawy Matematyczne tom/nr w serii: 166
Liczba stron
44
Liczba rozdzia³ów
Opis fizyczny
Dissertationes Mathematicae, Tom CLXVI
Daty
wydano
1980
Twórcy
Bibliografia
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