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  1. Annals of Global Analysis and Geometry
  2. Annals of Global Analysis and Geometry : Volume 18
  3. Annals of Global Analysis and Geometry : Volume 18, Issue 3-4, August 2000
  4. Riemannian, Symplectic and Weak Holonomy
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Annals of Global Analysis and Geometry : Volume 51
Annals of Global Analysis and Geometry : Volume 50
Annals of Global Analysis and Geometry : Volume 49
Annals of Global Analysis and Geometry : Volume 48
Annals of Global Analysis and Geometry : Volume 47
Annals of Global Analysis and Geometry : Volume 46
Annals of Global Analysis and Geometry : Volume 45
Annals of Global Analysis and Geometry : Volume 44
Annals of Global Analysis and Geometry : Volume 43
Annals of Global Analysis and Geometry : Volume 42
Annals of Global Analysis and Geometry : Volume 41
Annals of Global Analysis and Geometry : Volume 40
Annals of Global Analysis and Geometry : Volume 39
Annals of Global Analysis and Geometry : Volume 38
Annals of Global Analysis and Geometry : Volume 37
Annals of Global Analysis and Geometry : Volume 36
Annals of Global Analysis and Geometry : Volume 35
Annals of Global Analysis and Geometry : Volume 34
Annals of Global Analysis and Geometry : Volume 33
Annals of Global Analysis and Geometry : Volume 32
Annals of Global Analysis and Geometry : Volume 31
Annals of Global Analysis and Geometry : Volume 30
Annals of Global Analysis and Geometry : Volume 29
Annals of Global Analysis and Geometry : Volume 28
Annals of Global Analysis and Geometry : Volume 27
Annals of Global Analysis and Geometry : Volume 26
Annals of Global Analysis and Geometry : Volume 25
Annals of Global Analysis and Geometry : Volume 24
Annals of Global Analysis and Geometry : Volume 23
Annals of Global Analysis and Geometry : Volume 22
Annals of Global Analysis and Geometry : Volume 21
Annals of Global Analysis and Geometry : Volume 20
Annals of Global Analysis and Geometry : Volume 19
Annals of Global Analysis and Geometry : Volume 18
Annals of Global Analysis and Geometry : Volume 18, Issue 6, December 2000
Annals of Global Analysis and Geometry : Volume 18, Issue 5, October 2000
Annals of Global Analysis and Geometry : Volume 18, Issue 3-4, August 2000
Guest Editors' Introduction to a Special Issue in Memory of Alfred Gray (1939–1998)
On Tangent Sphere Bundles with Small or Large Constant Radius
Spin Spaces, Lipschitz Groups, and Spinor Bundles
On Pappus-Type Theorems on the Volume in Space Forms
Surfaces in Conformal Geometry
Almost Complex Poisson Manifolds
Riemannian, Symplectic and Weak Holonomy
Twistors and Cartan Connections
Flag Duality
Sculpture Inspired by Alfred Gray
Eigenfunction Expansions on Geodesic Balls and Rank One Symmetric Spaces of Compact Type
Total Extrinsic Curvature of Certain Distributions on Closed Spaces of Constant Curvature
Examples of Minimal Unit Vector Fields
Calibrated Embeddings in the Special Lagrangian and Coassociative Cases
Global G-Manifold Reductions and Resolutions
Annals of Global Analysis and Geometry : Volume 18, Issue 2, April 2000
Annals of Global Analysis and Geometry : Volume 18, Issue 1, February 2000
Annals of Global Analysis and Geometry : Volume 17
Annals of Global Analysis and Geometry : Volume 16
Annals of Global Analysis and Geometry : Volume 15

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Riemannian, Symplectic and Weak Holonomy

Content Provider Springer Nature Link
Author Schwachhöfer, Lorenz J.
Copyright Year 2000
Abstract Much of the early work of Alfred Gray was concerned with the investigation of Riemannian manifolds with special holonomy, one of the most vivid fields of Riemannian geometry in the 1960s and the following decades. It is the purpose of the present article to give a brief summary and an appreciation of Gray's contributions in this area on the one hand, and on the other hand to describe some of the more recent developments in the theory of non-Riemannian or,more specifically, symplectic holonomy groups. Namely, we show that the Merkulov twistor space of a connection on a symplectic manifold M whose holonomy group is irreducible and properly contained in Sp(V) consists of maximal totally geodesic Lagrangian submanifolds of M.
Starting Page 291
Ending Page 308
Page Count 18
File Format PDF
ISSN 0232704X
Journal Annals of Global Analysis and Geometry
Volume Number 18
Issue Number 3-4
e-ISSN 15729060
Language English
Publisher Kluwer Academic Publishers
Publisher Date 2000-01-01
Publisher Place Dordrecht
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Group Theory and Generalizations Analysis Geometry Mathematical and Computational Physics Statistics for Business/Economics/Mathematical Finance/Insurance
Content Type Text
Resource Type Article
Subject Analysis Geometry and Topology
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