FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2010, VOLUME 16, NUMBER 1, PAGES 81-93

**$r$-tuple almost product structures**

A. G. Kushner

Abstract

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A generalization of an almost product structure and an almost
complex structure on smooth manifolds is constructed.
The set of tensor differential invariants of type $(2,1)$ and the set of the
differential $2$-forms for such structures
are constructed.
We show how these tensor invariants can be used to solve the
classification problem for Monge--Ampère equations and Jacobi
equations.

Location: http://mech.math.msu.su/~fpm/eng/k10/k101/k10107h.htm

Last modified: March 11, 2011