L2 harmonic forms on submanifolds in a Hadamard manifold

2015 ◽  
Vol 125 ◽  
pp. 310-322 ◽  
Author(s):  
Hezi Lin
Keyword(s):  
Hadamard Manifold ◽  
Harmonic Forms

scholarly journals Harmonic forms and cohomology of singular stratified spaces

2007 ◽  
Vol 131 (5) ◽  
pp. 422-456
Author(s):  
Vincenzo Ancona ◽  
Bernard Gaveau ◽  
Masami Okada
Keyword(s):  
Harmonic Forms ◽  
Stratified Spaces

scholarly journals Hyper-Kähler Calabi metrics, L2 harmonic forms, resolved M2-branes, and AdS4/CFT3 correspondence

2001 ◽  
Vol 617 (1-3) ◽  
pp. 151-197 ◽  
Author(s):  
M. Cvetič ◽  
G.W. Gibbons ◽  
H. Lü ◽  
C.N. Pope
Keyword(s):  
Harmonic Forms

scholarly journals On products of harmonic forms

2001 ◽  
Vol 107 (3) ◽  
pp. 521-531 ◽  
Author(s):  
D. Kotschick
Keyword(s):  
Harmonic Forms

scholarly journals Square integrable harmonic forms and representation theory

1998 ◽  
Vol 92 (3) ◽  
pp. 645-664 ◽  
Author(s):  
L. Barchini ◽  
R. Zierau
Keyword(s):  
Representation Theory ◽  
Harmonic Forms

Harmonic Spinors on Hyperbolic Space

1993 ◽  
Vol 36 (3) ◽  
pp. 257-262 ◽  
Author(s):  
Pierre-Yves Gaillard
Keyword(s):  
Differential Equations ◽  
Symmetric Space ◽  
Representation Theory ◽  
Hyperbolic Space ◽  
Harmonic Functions ◽  
Short Note ◽  
Harmonic Forms ◽  
Semisimple Symmetric Space ◽  
Invariant Differential ◽  
Harmonic Spinors

AbstractThe purpose for this short note is to describe the space of harmonic spinors on hyperbolicn-spaceHn. This is a natural continuation of the study of harmonic functions onHnin [Minemura] and [Helgason]—these results were generalized in the form of Helgason's conjecture, proved in [KKMOOT],—and of [Gaillard 1, 2], where harmonic forms onHnwere considered. The connection between invariant differential equations on a Riemannian semisimple symmetric spaceG/Kand homological aspects of the representation theory ofG, as exemplified in (8) below, does not seem to have been previously mentioned. This note is divided into three main parts respectively dedicated to the statement of the results, some reminders, and the proofs. I thank the referee for having suggested various improvements.

Generalized Fermat's Problem

1991 ◽  
Vol 34 (1) ◽  
pp. 96-104 ◽  
Author(s):  
R. Noda ◽  
T. Sakai ◽  
M. Morimoto
Keyword(s):  
Hadamard Manifold ◽  
The Given

AbstractThe following problem is studied. Generalized Fermat's problem: in an n-dimensional Hadamard manifold M, locate a point whose distances from the given k vertices of M have the smallest possible sum.

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