Take contraction wrt a vector field twice and define kernel mod image. Does that give anything interesting?
I apologize in advance if this question is too vague for mathoverflow. My main aim is to get some references for a concept. First, we make the following observation: let $X: M \rightarrow TM $ be a ...
Hello, this may be a trivial question, but I am not very familiar with the topic. Let (M,g) be a Riemannian Manifold. (In fact, we don't need the metric here.) What exactly does it take for two ...
Hi, everyone: I am reading a small expository paper on properties of CP2, in which the intersection form is defined as an integral of the wedge of two forms $w_1$, $w_2$, and these forms ...
Suppose M is an arbitrary smooth manifold and D is its bundle of 1-densities. On the category of finite-dimensional vector bundles over M and linear differential operators between them there is a ...
The following is probably well known, but I wasn't able to locate a reference in the literature. Let $f$ be a Morse function on a smooth compact manifold $M$ without boundary and let $\rho$ be a ...