Zobrazeno 1 - 10
of 56
pro vyhledávání: '"58J"'
Autor:
Devyver, Baptiste, Kroencke, Klaus
We relate the dimensions of $L^p$ reduced cohomology spaces in degree k of an ALE manifold to the dimension of some spaces of decaying harmonic forms, depending both on p and on k. In this class of manifolds, this provides an extension to $p\neq 2$ o
Externí odkaz:
http://arxiv.org/abs/2305.10007
Autor:
Connes, Alain, Moscovici, Henri
In this paper we describe a remarkable new property of the self-adjoint extension W of the prolate spheroidal operator introduced in \cite{college98},\cite{CMbook}. The restriction of this operator to the interval J whose characteristic function comm
Externí odkaz:
http://arxiv.org/abs/2112.05500
Autor:
Liu, Bo
Publikováno v:
J. Noncommut. Geom. 2017 11(1)
In this paper, we define the equivariant eta form of Bismut-Cheeger for a compact Lie group and establish a formula about the functoriality of equivariant eta forms with respect to the composition of two submersions.
Comment: 75 pages
Comment: 75 pages
Externí odkaz:
http://arxiv.org/abs/1505.04454
Autor:
Zhang, Weiping
Publikováno v:
Commun. Math. Stat. 2 (2014), 253-277
We give a brief survey on aspects of the local index theory as developed from the mathematical works of V. K. Patodi. It is dedicated to the 70th anniversary of Patodi.
Comment: 28 pages. To appear in Communications in Mathematics and Statistics
Comment: 28 pages. To appear in Communications in Mathematics and Statistics
Externí odkaz:
http://arxiv.org/abs/1502.03637
Autor:
Sturm, Karl-Theodor
The goal of this paper is twofold: we study metric measure spaces $(X,d,m)$ with variable lower bounds for the Ricci curvature and we study pathwise coupling of Brownian motions. Given any lower semicontinuous function $k:X\to \mathbb R$ we introduce
Externí odkaz:
http://arxiv.org/abs/1405.0459
Autor:
Tang, Zizhou, Zhang, Weiping
We use the $\eta$-invariant of Atiyah-Patodi-Singer to compute the Eells-Kuiper invariant for the Eells-Kuiper quaternionic projective plane. By combining with a known result of B\'erard-Bergery, it shows that every Eells-Kuiper quaternionic projecti
Externí odkaz:
http://arxiv.org/abs/1302.2792
Autor:
Zhang, Weiping
We construct Dirac operators on foliations by applying the Bismut-Lebeau analytic localization technique to the Connes fibration over a foliation. The Laplacian of the resulting Dirac operators has better lower bound than that obtained by using the u
Externí odkaz:
http://arxiv.org/abs/1204.2224
Autor:
Isozaki, Hiroshi, Kurylev, Yaroslav
We study the spectral theory and inverse problem on asymptotically hyperbolic manifolds. The main subjects are as follows: (1)Location of the essential spectrum. (2)Absence of eigenvalues embedded in the continuous spectrum. (3)Limiting absorption pr
Externí odkaz:
http://arxiv.org/abs/1102.5382
Autor:
Benalili, Mohammed, Tahri, Kamel
This paper deals with the existence of solutions to a class of fourth order nonlinear elliptic equations. The technique used relies on critical points theory. The solutions appeared as critical points of a functional restricted to a suitable manifold
Externí odkaz:
http://arxiv.org/abs/1004.2669
In this paper, we study the relation of the monotonicity of Hawking Mass and geometric flow problems. We show that along the Hamilton-DeTurck flow with bounded curvature coupled with the modified mean curvature flow, the Hawking mass of the hypersphe
Externí odkaz:
http://arxiv.org/abs/0805.3896