Second order families of special Lagrangian 3-folds

dc.contributor.author

Bryant, Robert L

dc.date.accessioned

2016-08-25T13:49:47Z

dc.description.abstract

A second order family of special Lagrangian submanifolds of complex m-space is a family characterized by the satisfaction of a set of pointwise conditions on the second fundamental form. For example, the set of ruled special Lagrangian submanifolds of complex 3-space is characterized by a single algebraic equation on the second fundamental form. While the `generic' set of such conditions turns out to be incompatible, i.e., there are no special Lagrangian submanifolds that satisfy them, there are many interesting sets of conditions for which the corresponding family is unexpectedly large. In some cases, these geometrically defined families can be described explicitly, leading to new examples of special Lagrangian submanifolds. In other cases, these conditions characterize already known families in a new way. For example, the examples of Lawlor-Harvey constructed for the solution of the angle conjecture and recently generalized by Joyce turn out to be a natural and easily described second order family.

dc.format.extent

36 pages, latex2e

dc.identifier

http://arxiv.org/abs/math/0007128v2

dc.identifier.uri

https://hdl.handle.net/10161/12681

dc.publisher

AMER MATHEMATICAL SOC

dc.relation.ispartof

Perspectives in Riemannian Geometry, CRM Proceedings and Lecture Notes, edited by Vestislav Apostolov, Andrew Dancer, Nigel Hitchin, and McKenzie Wang, vol. 40 (2006), American Mathematical Society

dc.subject

math.DG

dc.subject

math.DG

dc.subject

Primary:32Q25, Secondary: 53C38

dc.title

Second order families of special Lagrangian 3-folds

dc.type

Conference

duke.contributor.orcid

Bryant, Robert L|0000-0002-4890-2471

pubs.author-url

http://arxiv.org/abs/math/0007128v2

pubs.notes

Some extra comments included in response to reader questions, many typos corrected, and important references added

pubs.organisational-group

Duke

pubs.organisational-group

Mathematics

pubs.organisational-group

Trinity College of Arts & Sciences

Files

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
bryantSOnInvsLagsv3.pdf
Size:
231.93 KB
Format:
Unknown data format