The paper focuses on the class of Bott–Duffin inverses. Several original features are identified and new properties characterized. Some results available in literature recaptured a more general form. BD matrices also introduced some given.

Let E : 0 → S → E → Q → 0 be a short exact sequence of hermitian vector bundles with metrics on S and Q induced from that on E. We compute the Bott-Chern form φ̃(E ) corresponding to any characteristic class φ, assuming E is projectively flat. The result is used to obtain a new presentation of the Arakelov Chow ring of the arithmetic Grassmannian.

In this paper, we introduce six axioms for relative Bott-Chern secondary characteristic classes and prove the uniqueness and existence theorem for them. Such a work provides us a natural way to understand and hence to prove the arithmetic Grothendieck-Riemann-Roch theorem.

In this paper, we classify three-dimensional Lorentzian Lie groups on which Ricci tensors associated with Bott connections, canonical connections and Kobayashi–Nomizu are Codazzi these connections. We also the quasi-statistical structure

Bott periodicity in K-theory is a rather mysterious object. The classical proofs typically consist of showing that the unitary groups form an Ω-spectrum from which to get a cohomology theory; then showing that that theory is K-theory; and most formidably showing that U(n) is homotopic to U(n+ 2) for all n. However, Cuntz showed that Bott periodicity can be derived in a much simpler way if one r...

800 Jahre Deutscher Orden. Katalog zur Ausstellung des Germanischen Nationalmuseums / hrsg. vom Nationalmuseum und der internationalen historischen Kommission Erforschung Deutschen Ordens von Gerhard Bott; Udo Arnold. - Gütersloh, München: Bertelsmann, 1990. 592 S.: Ill.