This book provides quick access to the theory of Lie groups and isometric actions on smooth manifolds, using a concise geometric approach. After a gentle introduction to the subject, some of its recent applications to active research areas are explored, keeping a constant connection with the basic material. The topics discussed include polar actions, singular Riemannian foliations, cohomogeneity one actions, and positively curved manifolds with many symmetries. This book stems from the experience gathered by the authors in several lectures along the years and was designed to be as self-contained as possible. It is intended for advanced undergraduates, graduate students and young researchers in geometry and can be used for a one-semester course or independent study.
Format: HardbackCONTRIBUTORS: Marcos M. AlexandrinoEAN: 9783319166124COUNTRY: SwitzerlandPAGES: WEIGHT: 4616 gHEIGHT: 235 cm
PUBLISHED BY: Springer International Publishing AGDATE PUBLISHED: 2015-06-09CITY: GENRE: MATHEMATICS / Geometry / Differential, MATHEMATICS / Group Theory, MATHEMATICS / TopologyWIDTH: 155 cmSPINE:
Book Themes:
Groups and group theory, Differential and Riemannian geometry, Algebraic topology
“This book sets out from the geometric point of view the foundations of the theory of Lie groups and Lie algebras, as well as some of the topics relating to the theory of Lie groups of isometric transformations. … At the end of the book there is an application in which some elements of the theory of smooth manifolds are exposed. The book therefore can be seen as self-contained and thus usable as a textbook.” (Vladimir V. Gorbatsevich, Mathematical Reviews, March, 2016)“The present book provides a nice overview of topics related to isometric actions, exploring relations to active research areas (primarily of the authors), such as isoparametric submanifolds, polar actions, polar foliations, cohomogeneity one actions, and positive curvature via symmetries. … The book is of great benefit for mature graduate students or researchers in the field.” (Andreas Arvanitoyeorgos, zbMATH 1322.22001, 2015)
Marcos M. Alexandrino is an Associate Professor at the Institute of Mathematics and Statistics of the University of São Paulo, Brazil. He did his PhD at Pontifical Catholic University of Rio de Janeiro, Brazil, with studies at the University of Cologne, in Germany. His research is on the field of Differential Geometry, more specifically on singular Riemannian foliations and isometric actions.Renato G. Bettiol is a Hans Rademacher Instructor of Mathematics at the University of Pennsylvania, USA. He did his PhD at the University of Notre Dame, USA. His research is on the field of Differential Geometry, more specifically on Riemannian geometry and geometric analysis.
This book provides quick access to the theory of Lie groups and isometric actions on smooth manifolds, using a concise geometric approach. After a gentle introduction to the subject, some of its recent applications to active research areas are explored, keeping a constant connection with the basic material. The topics discussed include polar actions, singular Riemannian foliations, cohomogeneity one actions, and positively curved manifolds with many symmetries. This book stems from the experience gathered by the authors in several lectures along the years and was designed to be as self-contained as possible. It is intended for advanced undergraduates, graduate students and young researchers in geometry and can be used for a one-semester course or independent study.
Format: HardbackCONTRIBUTORS: Marcos M. AlexandrinoEAN: 9783319166124COUNTRY: SwitzerlandPAGES: WEIGHT: 4616 gHEIGHT: 235 cm
PUBLISHED BY: Springer International Publishing AGDATE PUBLISHED: 2015-06-09CITY: GENRE: MATHEMATICS / Geometry / Differential, MATHEMATICS / Group Theory, MATHEMATICS / TopologyWIDTH: 155 cmSPINE:
Book Themes:
Groups and group theory, Differential and Riemannian geometry, Algebraic topology
Marcos M. Alexandrino is an Associate Professor at the Institute of Mathematics and Statistics of the University of São Paulo, Brazil. He did his PhD at Pontifical Catholic University of Rio de Janeiro, Brazil, with studies at the University of Cologne, in Germany. His research is on the field of Differential Geometry, more specifically on singular Riemannian foliations and isometric actions.Renato G. Bettiol is a Hans Rademacher Instructor of Mathematics at the University of Pennsylvania, USA. He did his PhD at the University of Notre Dame, USA. His research is on the field of Differential Geometry, more specifically on Riemannian geometry and geometric analysis.
Die verhaal van die kasarm en die Calitze kom tot 'n mooi einde
Ek kan nie ’n boek summier toemaak nadat die slotsin geskryf is nie. Ek lees álles, tot by die outeursnotas en die bronnelys (gewoonlik gooi ek darem net vlugtig ’n oog oor die bonne!). Chanette Paul maak in die nota oor Maanschijnbaai 2, die verdere verhaal van Nan en Jeannie, die stelling: “Lesers moet my asseblief vergewe dat my verbeelding altyd die oorhand oor die werklikheid kry en verdigsel voorkeur bo feite.” (p.635) Ek wil daarby aanhaak en bieg dat ’n uitstekende verhoudingsroman soos hierdie tydelik die oorhand gekry het oor my traagheid om te lees oor reïnkarnasie en die esoteriese. Die klomp Calitzse het my tyd en aandag totaal gekaap.
Die skrywer wy die laaste bladsye aan ’n verduideliking oor hoe die Maanschijnbaai-tweeluik ontstaan het. Sy beweer dat die Calitze haar “onkant” betrap het. Sy wou ’n romanse skryf maar uiteindelik was die karakters so kompleks dat dit op twee dik boeke en ’n intense familiedrama uitgeloop het.
Van die onderskeie karakters raak diep waarhede kwyt wat die moeite werd is om te onderstreep en te onthou, soos Zach wat dit gehad het oor die risiko om iemand op ’n pedestal te plaas omdat jy daardeur die persoon ’n onreg aandoen. (p.539) En Nan, wat die hele klomp Calitze moes grootkry, se wyse raad: “Met eerlikheid, Jeannie, kom ’n mens baie verder as met opoffering. Met eerlikheid gee jy almal ’n regverdige kans. Opoffering beteken bloot jy doen iets teen jou sin omdat jy glo dit sal ander baat.” (p.613)
Maak seker dat jy genoeg tyd op hande het, dan lees jy hierdie tweeluik in volgorde, Jo & Sue, gevolg deur Nan & Jeannie. Dit is hersien en met splinternuwe, pragtige baadjies uitgegee deur Lapa Uitgewers.
A very practical approach and the tools to go along with it
Very useful. The book provides a structure and an approach that I would have been useful earlier in my investing. I like the five gates and in particular the attention to quality and management's capital allocation decisions. I will also apply the idea of the stewardship log to get more explicit on my investment theses. This is kind of the practical aspect of what I learned from the Psychology of Money.
the title ties in really nicley the more towards the end but the title for the book suits it real...
the book is very slow burn and takes a while for like captivating parts of the book .but the middle to the end the pace of the book is really nice the beginning is just repetitive and and trust the processes
Skuld en vergifnis word nie versuiker in hierdie jeugverhaal nie
Twee halwes maak ’n hele is die wenner van ’n jeugboekprys. Ek moes myself gedurig herinner wat die teikenmark nou eintlik is, want die sake wat aangeraak word, is geensins beperk tot jeugdige lesers nie. Die sterk newe-karakters dra daartoe by die selfs baie ouer lesers goed aanklank kan vind by die storielyn wat ontvou.
“Hulle sê as jy iemand vergewe, lig jy ’n vrag van daardie persoon se skouers af. Maar miskien is sommige dinge net te swaar om van iemand anders se skouers te lig?” (p.178) Baie aandag word gegee aan skuld en vergifnis, maar geen suikeromhulde kitsoplossings word aangebied nie. Dit sou die storie beslis vervlak het.
Na die aardskuddende ontdekking wat Lira gemaak het, gaan sy vir drie maande na ’n Griekse eiland en maak sy kennis met haar ander helfte, ’n halfsuster wat presies die teenoorgestelde is van haar eie ingetoë, overthinking self. Ek het daarvan gehou dat hulle, die verskille ten spyt, nie in heftige konflik was nie. Eerder besig om algaande te ontdek dat hulle by mekaar kan aanpas en albei sterker daardeur kan kom.
Marita van der Vyver is ’n waardige wenner van die Tafelberg Jeugboekprys en hierdie boek hoort beslis in van der Vyver versamelings. Dit is uitgegee deur Tafelberg, ’n druknaam van Jonathan Ball Uitgewers.
