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Record Nr. |
UNINA9910480412603321 |
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Autore |
Khemar Idrisse <1979-> |
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Titolo |
Elliptic integrable systems : a comprehensive geometric interpretation / / Idrisse Khemar |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2012 |
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©2012 |
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ISBN |
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Descrizione fisica |
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1 online resource (215 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 219, Number 1031 |
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Disciplina |
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Soggetti |
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Geometry, Riemannian |
Hermitian structures |
Electronic books. |
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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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Note generali |
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"September 2012, Volume 219, Number 1031 (fourth of 5 numbers)." |
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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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""Contents""; ""Abstract""; ""Introduction""; ""0.1. The primitive systems""; ""0.2. The determined case""; ""0.2.1. The minimal determined system""; ""0.2.2. The general structure of the maximal determined case""; ""0.2.3. The model system in the even case""; ""0.2.4. The model system in the odd case""; ""0.2.5. The coupled model system""; ""0.2.6. The general maximal determined odd system (k'=2k+1,m=2k)""; ""0.2.7. The general maximal determined even system (k'=2k,m=2k-1)""; ""0.2.8. The intermediate determined systems""; ""0.3. The underdetermined case""; ""0.4. In the twistor space"" |
""0.5. Related subjects and works, and motivations""""0.5.1. Relations with surface theory""; ""0.5.2. Relations with mathematical physics""; ""0.5.3. Relations of F-stringy harmonicity and supersymmetry""; ""Notation, conventions and general definitions""; ""0.6. List of notational conventions and organisation of the paper""; ""0.7. Almost complex geometry""; ""Chapter 1. Invariant connections on reductive homogeneous spaces""; ""1.1. Linear isotropy representation""; ""1.2. Reductive homogeneous space""; ""1.3. The (canonical) invariant connection""; ""1.4. Associated covariant derivative"" |
""1.5. G-invariant linear connections in terms of equivariant bilinear |
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maps""""1.6. A family of connections on the reductive space M""; ""1.7. Differentiation in End(T(G/H))""; ""Chapter 2. m-th elliptic integrable system associated to a k'-symmetric space""; ""2.0.1. Definition of G (even when does not integrate in G)""; ""2.1. Finite order Lie algebra automorphisms""; ""2.1.1. The even case: k'=2k""; ""2.1.2. The odd case: k'=2k+1""; ""2.2. Definitions and general properties of the m-th elliptic system""; ""2.2.1. Definitions""; ""2.2.2. The geometric solution"" |
""2.2.3. The increasing sequence of spaces of solutions: (S(m))mN""""2.2.4. The decreasing sequence (Syst(m,p))p/k'""; ""2.3. The minimal determined case""; ""2.3.1. The even minimal determined case: k'=2k and m=k""; ""2.3.2. The minimal determined odd case""; ""2.4. The maximal determined case""; ""Adding holomorphicity conditions; the intermediate determined systems""; ""2.5. The underdetermined case""; ""2.6. Examples""; ""2.6.1. The trivial case: the 0-th elliptic system associated to a Lie group""; ""2.6.2. Even determined case""; ""2.6.3. Primitive case"" |
""2.6.4. Underdetermined case""""2.7. Bibliographical remarks and summary of the results""; ""Chapter 3. Finite order isometries and twistor spaces""; ""3.1. Isometries of order 2k with no eigenvalues =1""; ""3.1.1. The set of connected components in the general case""; ""3.1.2. Study of Ad J, for JZ2ka(R2n)""; ""3.1.3. Study of Ad Jj""; ""3.2. Isometries of order 2k+1 with no eigenvalue =1""; ""3.3. The effect of the power maps on the finite order isometries""; ""3.4. The twistor spaces of a Riemannian manifolds and its reductions"" |
""3.5. Return to an order 2k automorphism 2mu-:6muplus1mugg"" |
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2. |
Record Nr. |
UNINA9910778982103321 |
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Autore |
Peters Edward <1936-> |
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Titolo |
Christian society and the crusades, 1198-1229 [[electronic resource] ] : sources in translation, including the capture of Damietta by Oliver of Paderborn / / translated with notes by John J. Gavigan. Edited, with an introd. by Edward Peters |
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Pubbl/distr/stampa |
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Philadelphia, : University of Pennsylvania Press, 1971 |
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ISBN |
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1-283-89654-0 |
0-8122-0736-X |
0-585-12106-0 |
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Descrizione fisica |
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1 online resource (193 p.) |
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Collana |
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Sources of medieval history |
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Disciplina |
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Soggetti |
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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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Note generali |
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Portions were originally published in the University of Pennsylvania History Dept. series. Translations and reprints from the original sources of European history. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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Front matter -- Contents -- Introduction -- I. The Fourth Crusade, 1202-1207 -- II. Crusade and Council, 1208-1215 -- III. The Fifth Crusade, 1217-1222 -- IV. The Emperor's Crusade, 1227-1229 |
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Sommario/riassunto |
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During the thirteenth century, the widespread conviction that the Christian lands in Syria and Palestine were of utmost importance to Christendom, and that their loss was a sure sign of God's displeasure with Christian society, pervaded nearly all levels of thought. Yet this same society faced other crises: religious dissent and unorthodox beliefs were proliferating in western Europe, and the powers exercised, or claimed, by the kings of Europe were growing rapidly.The sources presented here illustrate the rising criticism of the changing Crusade idea. They reflect a sharpened awareness among Europeans of themselves as a community of Christians and the slow beginnings of the secular culture and political organization of Europe. |
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