6 citations · 11 across the 4 of their papers we have counts for
4 papers
Differential Geometry, Lie Groups and Symmetric Spaces over General Base Fields and Rings
Wolfgang Bertram
The aim of this work is to lay the foundations of differential geometry and Lie theory over the general class of topological base fields and -rings for which a differential calculu…
Projective completions of Jordan pairs Part II. Manifold structures and symmetric spaces
Wolfgang Bertram, Karl-Hermann Neeb
We define symmetric spaces in arbitrary dimension and over arbitrary non-discrete topological fields $\K$, and we construct manifolds and symmetric spaces associated to topological…
Projective completions of Jordan pairs. Part I: The generalized projective geometry of a Lie algebra
Wolfgang Bertram, Karl-Hermann Neeb
A geometric realization of the projective completion of the Jordan pair corresponding to a three-graded Lie algebra is given which permits to develop a geometric structure theory o…
Differential Calculus, Manifolds and Lie Groups over Arbitrary Infinite Fields
Wolfgang Bertram, Helge Glockner, Karl-Hermann Neeb
We present an axiomatic approach to finite- and infinite-dimensional differential calculus over arbitrary infinite fields (and, more generally, suitable rings). The corresponding b…