Künneth Geometry

This clear and elegant text introduces Knneth or bi-Lagrangian geometry from the foundations up beginning with a rapid introduction to symplectic geometry at a level suitable for undergraduate students. Unlike other books on this topic it includes a systematic development of the foundations of Lagrangian foliations. The latter half of the text discusses Knneth geometry from the point of view of basic differential topology featuring both new expositions of standard material and new material that has not previously appeared in book form. This subject which has many interesting uses and applications in physics is developed ab initio without assuming any previous knowledge of pseudo-Riemannian or para-complex geometry. This book will serve both as a reference work for researchers and as an invitation for graduate students to explore this field with open problems included as inspiration for future research.