Bismut type formulae for diffusion semigroups on Riemannian manifolds

Ana Bela Cruzeiro; Xicheng Zhang

doi:10.1007/s11118-006-9010-8

Bismut type formulae for diffusion semigroups on Riemannian manifolds

Ana Bela Cruzeiro^*, Xicheng Zhang

^*此作品的通讯作者

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

Applying the stochastic calculus of variations on frame bundles along tangent processes, we derive Bismut type formulae for the derivatives of diffusion semigroups on Riemannian manifold in both variables. We also obtain the Bismut formulae expressed in terms of the Ricci and torsion tensors for the connection with torsion.

源语言	英语
页（从-至）	121-130
页数	10
期刊	Potential Analysis
卷	25
期	2
DOI	https://doi.org/10.1007/s11118-006-9010-8
出版状态	已出版 - 9月 2006
已对外发布	是

访问文件

10.1007/s11118-006-9010-8

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{114cfbc6b52442039d6646dfacc1d2e5,

title = "Bismut type formulae for diffusion semigroups on Riemannian manifolds",

abstract = "Applying the stochastic calculus of variations on frame bundles along tangent processes, we derive Bismut type formulae for the derivatives of diffusion semigroups on Riemannian manifold in both variables. We also obtain the Bismut formulae expressed in terms of the Ricci and torsion tensors for the connection with torsion.",

keywords = "Bismut formulae, Diffusion semigroups, Heat kernel derivatives",

author = "Cruzeiro, {Ana Bela} and Xicheng Zhang",

year = "2006",

month = sep,

doi = "10.1007/s11118-006-9010-8",

language = "English",

volume = "25",

pages = "121--130",

journal = "Potential Analysis",

issn = "0926-2601",

publisher = "Springer Netherlands",

number = "2",

}

TY - JOUR

T1 - Bismut type formulae for diffusion semigroups on Riemannian manifolds

AU - Cruzeiro, Ana Bela

AU - Zhang, Xicheng

PY - 2006/9

Y1 - 2006/9

N2 - Applying the stochastic calculus of variations on frame bundles along tangent processes, we derive Bismut type formulae for the derivatives of diffusion semigroups on Riemannian manifold in both variables. We also obtain the Bismut formulae expressed in terms of the Ricci and torsion tensors for the connection with torsion.

AB - Applying the stochastic calculus of variations on frame bundles along tangent processes, we derive Bismut type formulae for the derivatives of diffusion semigroups on Riemannian manifold in both variables. We also obtain the Bismut formulae expressed in terms of the Ricci and torsion tensors for the connection with torsion.

KW - Bismut formulae

KW - Diffusion semigroups

KW - Heat kernel derivatives

UR - http://www.scopus.com/inward/record.url?scp=33746701904&partnerID=8YFLogxK

U2 - 10.1007/s11118-006-9010-8

DO - 10.1007/s11118-006-9010-8

M3 - Article

AN - SCOPUS:33746701904

SN - 0926-2601

VL - 25

SP - 121

EP - 130

JO - Potential Analysis

JF - Potential Analysis

IS - 2

ER -

Bismut type formulae for diffusion semigroups on Riemannian manifolds

摘要

访问文件

其它文件与链接

指纹

引用此