Concepedia

Xianzhe Dai

XD

16

Publications

612

Citations

14

H-Index

1991

Active since

Affiliations

University of California, Santa Barbara(Current)

University of Southern California

Nankai University

Xianzhe Dai is an author at University of California, Santa Barbara specializing in spectral theory, engineering, and functional analysis.

Top concepts

Spectral TheoryEngineeringGeometryFunctional AnalysisPhysicsFluid DynamicsMultiphase FlowIntegral GeometryRepresentation TheoryVariational Inequalities

Publications per year

1991–2021

16

Publications

16

Adiabatic limits, nonmultiplicativity of signature, and Leray spectral sequence

Xianzhe Dai · Journal of the American Mathematical Society · 1991 · 108 citations · Full text

Spectral Theory, Engineering, Adiabatic Limits +9

On the stability of Riemannian manifold with parallel spinors

Xianzhe Dai, Xiaodong Wang, Guofang Wei · Inventiones mathematicae · 2005 · 87 citations

Parallel Spinors, Geometry, Riemannian Geometry +2

Mass Under the Ricci Flow

Xianzhe Dai, Li Ma · Communications in Mathematical Physics · 2007 · 60 citations

Fluid Mechanics, Mass Transfer, Geometric Flow +1

Higher Spectral Flow

Xianzhe Dai, Weiping Zhang · Journal of Functional Analysis · 1998 · 55 citations

Spectral Theory, Engineering, Geometric Flow +4

Smoothing Riemannian metrics with Ricci curvature bounds

Xianzhe Dai, Guofang Wei, Rugang Ye · manuscripta mathematica · 1996 · 52 citations

Riemannian Geometry, Riemannian Metrics, Riemannian Manifold +1

Rows per page

1–5 of 16