NDLI: New geometric flows on Riemannian manifolds and applications to Schrödinger-Airy flows

Content Provider	Springer Nature Link
Author	Sun, XiaoWei Wang, YouDe
Copyright Year	2014
Abstract	In this paper, a class of new geometric flows on a complete Riemannian manifold is defined. The new flow is related to the generalized (third order) Landau-Lifshitz equation. On the other hand it could be thought of as a special case of the Schrödinger-Airy flow when the target manifold is a Kähler manifold with constant holomorphic sectional curvature. We show the local existence of the new flow on a complete Riemannian manifold with some assumptions on Ricci tensor. Moreover, if the target manifolds are Einstein or some certain type of locally symmetric spaces, the global results are obtained.
Starting Page	2247
Ending Page	2272
Page Count	26
File Format	PDF
ISSN	16747283
Journal	Science in China Series A: Mathematics
Volume Number	57
Issue Number	11
e-ISSN	18691862
Language	English
Publisher	Science China Press
Publisher Date	2014-07-30
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	new geometric flow Schrödinger-Airy flow global existence Applications of Mathematics
Content Type	Text
Resource Type	Article
Subject	Mathematics

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New geometric flows on Riemannian manifolds and applications to Schrödinger-Airy flows