18 citations · 40 across the 6 of their papers we have counts for
6 papers
Harmonic and Wave Maps Coupled with Einstein's gravitation
R. Schimming, Ragab M. Gad
In this paper we discuss the coupled dynamics, following from a suitable Lagrangian, of a harmonic or wave map and Einstein's gravitation described by a metric . The main re…
On the history of fourth order metric theories of gravitation
R. Schimming, H. -J. Schmidt
We present the history of fourth order metric theories of gravitation from its beginning in 1918 until 1988.
A Possible Test for Quadratic Gravity in dimensions
Janusz Garecki
In this letter we consider the Einsteinian strengths and dynamical degrees of freedom for quadratic gravity. We show that purely metric quadratic gravity theories are much stronger…
A new explicit expression for the Korteweg-De Vries hierarchy
Ivan G. Avramidi, Rainer Schimming
We derive an improved fully explicit expression for the right-hand sides of the matrix KdV hierarchy using the relation to the heat kernel of the one-dimensional Schrödinger operat…
Algorithms for the calculation of the heat kernel coefficients
Ivan G. Avramidi, Rainer Schimming
We present a brief overview of several approaches for calculating the local asymptotic expansion of the heat kernel for Laplace-type operators. The different methods developed in t…
The Heat Kernel Coefficients to the Matrix Schrödinger Operator
I. G. Avramidi, R. Schimming
The heat kernel coefficients to the Schrödinger operator with a matrix potential are investigated. We present algorithms and explicit expressions for the Taylor coefficients…