Riemannian Manifolds Of Conullity Two
Seiten
1996
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-2768-5 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-2768-5 (ISBN)
- Titel z.Zt. nicht lieferbar
- Versandkostenfrei innerhalb Deutschlands
- Auch auf Rechnung
- Verfügbarkeit in der Filiale vor Ort prüfen
- Artikel merken
This book deals with Riemannian manifolds for which the nullity space of the curvature tensor has codimension two. These manifolds are “semi-symmetric spaces foliated by Euclidean leaves of codimension two” in the sense of Z I Szabó. The authors concentrate on the rich geometrical structure and explicit descriptions of these remarkable spaces. Also parallel theories are developed for manifolds of “relative conullity two”. This makes a bridge to a survey on curvature homogeneous spaces introduced by I M Singer. As an application of the main topic, interesting hypersurfaces with type number two in Euclidean space are discovered, namely those which are locally rigid or “almost rigid”. The unifying method is solving explicitly particular systems of nonlinear PDE.
Definition and early development; local structure of semi-symmetric spaces; explicit treatment of foliated semi-symmetric spaces; curvature homogeneous semi-symmetric spaces; asymptotic distributions and algebraic rank; three-dimensional Riemannian manifolds of conullity two; asymptotically foliated semi-symmetric spaces; elliptic semi-symmetric spaces; complete foliated semi-symmetric spaces; application - local rigidity problems for hypersurfaces with type number two in IR4; three-dimensional Riemannian manifolds of relative conullity two; appendix - more about curvature homogeneous spaces.
Erscheint lt. Verlag | 9.11.1996 |
---|---|
Verlagsort | Singapore |
Sprache | englisch |
Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
ISBN-10 | 981-02-2768-X / 981022768X |
ISBN-13 | 978-981-02-2768-5 / 9789810227685 |
Zustand | Neuware |
Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Gekrümmte Kurven und Flächen
Buch | Softcover (2024)
De Gruyter (Verlag)
49,95 €
Buch | Hardcover (2022)
Freies Geistesleben (Verlag)
24,00 €
Buch | Softcover (2024)
Springer International Publishing (Verlag)
89,99 €