Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300823293> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W4300823293 abstract "Let L be a Lagrangian submanifold of a pseudo- or para-Kahler manifold which is H-minimal, i.e. a critical point of the volume functional restricted to Hamiltonian variations. We derive the second variation of the volume of L with respect to Hamiltonian variations. We apply this formula to several cases. In particular we observe that a minimal Lagrangian submanifold L in a Ricci-flat pseudo- or para-Kahler manifold is H-stable, i.e. its second variation is definite and L therefore a local extremizer of the volume with respect to Hamiltonian variations. We also give a stability criterion for spacelike minimal Lagrangian submanifolds in para-Kahler manifolds, similar to Oh's stability criterion for minimal Lagrangian manifolds in Kahler-Einstein manifolds. Finally, we determine the H-stability of a series of examples of H-minimal Lagrangian submanifolds: the product of n circles of arbitrary radii in complex space C^n is H-unstable with respect to any indefinite flat Hermitian metric, while the product of n hyperbolas in para-complex vector space D^n is H-stable for n=1,2 and H-unstable for n > 2. Recently, minimal Lagrangian surfaces in the space of geodesics of three-dimensional space forms have been characterized; on the other hand, a class of H-minimal Lagrangian surfaces in the tangent bundle of a Riemannian, oriented surface has been identified. We discuss the H-stability of all these examples." @default.
- W4300823293 created "2022-10-04" @default.
- W4300823293 creator A5004070879 @default.
- W4300823293 creator A5078201426 @default.
- W4300823293 date "2012-05-08" @default.
- W4300823293 modified "2023-09-30" @default.
- W4300823293 title "Hamiltonian stability of Hamiltonian minimal Lagrangian submanifolds in pseudo- and para-Kahler manifolds" @default.
- W4300823293 doi "https://doi.org/10.48550/arxiv.1205.1749" @default.
- W4300823293 hasPublicationYear "2012" @default.
- W4300823293 type Work @default.
- W4300823293 citedByCount "0" @default.
- W4300823293 crossrefType "posted-content" @default.
- W4300823293 hasAuthorship W4300823293A5004070879 @default.
- W4300823293 hasAuthorship W4300823293A5078201426 @default.
- W4300823293 hasBestOaLocation W43008232931 @default.
- W4300823293 hasConcept C119830904 @default.
- W4300823293 hasConcept C12089564 @default.
- W4300823293 hasConcept C126255220 @default.
- W4300823293 hasConcept C127413603 @default.
- W4300823293 hasConcept C130787639 @default.
- W4300823293 hasConcept C134306372 @default.
- W4300823293 hasConcept C1432948 @default.
- W4300823293 hasConcept C151300846 @default.
- W4300823293 hasConcept C157157409 @default.
- W4300823293 hasConcept C165818556 @default.
- W4300823293 hasConcept C175017881 @default.
- W4300823293 hasConcept C195065555 @default.
- W4300823293 hasConcept C202444582 @default.
- W4300823293 hasConcept C2524010 @default.
- W4300823293 hasConcept C33923547 @default.
- W4300823293 hasConcept C37914503 @default.
- W4300823293 hasConcept C529865628 @default.
- W4300823293 hasConcept C53469067 @default.
- W4300823293 hasConcept C78519656 @default.
- W4300823293 hasConcept C91586840 @default.
- W4300823293 hasConceptScore W4300823293C119830904 @default.
- W4300823293 hasConceptScore W4300823293C12089564 @default.
- W4300823293 hasConceptScore W4300823293C126255220 @default.
- W4300823293 hasConceptScore W4300823293C127413603 @default.
- W4300823293 hasConceptScore W4300823293C130787639 @default.
- W4300823293 hasConceptScore W4300823293C134306372 @default.
- W4300823293 hasConceptScore W4300823293C1432948 @default.
- W4300823293 hasConceptScore W4300823293C151300846 @default.
- W4300823293 hasConceptScore W4300823293C157157409 @default.
- W4300823293 hasConceptScore W4300823293C165818556 @default.
- W4300823293 hasConceptScore W4300823293C175017881 @default.
- W4300823293 hasConceptScore W4300823293C195065555 @default.
- W4300823293 hasConceptScore W4300823293C202444582 @default.
- W4300823293 hasConceptScore W4300823293C2524010 @default.
- W4300823293 hasConceptScore W4300823293C33923547 @default.
- W4300823293 hasConceptScore W4300823293C37914503 @default.
- W4300823293 hasConceptScore W4300823293C529865628 @default.
- W4300823293 hasConceptScore W4300823293C53469067 @default.
- W4300823293 hasConceptScore W4300823293C78519656 @default.
- W4300823293 hasConceptScore W4300823293C91586840 @default.
- W4300823293 hasLocation W43008232931 @default.
- W4300823293 hasOpenAccess W4300823293 @default.
- W4300823293 hasPrimaryLocation W43008232931 @default.
- W4300823293 hasRelatedWork W2021935068 @default.
- W4300823293 hasRelatedWork W2064477084 @default.
- W4300823293 hasRelatedWork W2368210305 @default.
- W4300823293 hasRelatedWork W2950394624 @default.
- W4300823293 hasRelatedWork W2964346912 @default.
- W4300823293 hasRelatedWork W3014291690 @default.
- W4300823293 hasRelatedWork W3057321264 @default.
- W4300823293 hasRelatedWork W4285689223 @default.
- W4300823293 hasRelatedWork W4309850961 @default.
- W4300823293 hasRelatedWork W82855754 @default.
- W4300823293 isParatext "false" @default.
- W4300823293 isRetracted "false" @default.
- W4300823293 workType "article" @default.