Is there a survey of the geometry of manifolds with finite volume Riemannian metrics of negative sectional curvature? More specifically, I am interested in the geometry of cusp ends of such manifolds, which I think(?) are of the form $M \times \mathbb{R}\_{+}$, where $M$ is a compact quotient of a nilpotent Lie group. I'm also interested in the geometry of the boundary of the universal cover. It's easy to find references on these subjects in the case of real or complex hyperbolic metrics, but I have yet to find a reference that summarizes what is known (and what techniques are available) in the case of non-locally symmetric negatively curved manifolds. 


In the references, I am really looking for quantitative geometric, analytical, and dynamical information about such Riemannian manifolds, not coarse geometry related to its fundamental group. I also want information specific to pinched negative sectional curvature, as opposed to the more general case of nonpositive sectional curvature (about which I have been able to find references which summarize the basic techniques, e.g. the excellent text of Ballman, Gromov, and Schroeder on the subject).


**Edit:** I found the following recent survey on topological aspects of the subject <http://arxiv.org/pdf/1306.1256.pdf> which I think has enough references for me to follow up on to get some answers to my original question. Additional references would be greatly appreciated.


One of the reference questions I have which lies behind my original question is this: Is there a book or paper which collects techniques *specific* to strict negative sectional curvature, as opposed to nonpositive sectional curvature? Every general reference that I have found proves everything in the case $K \leq 0$, and then states additional improvements for $K < 0$ when applicable. I am wondering if there is a comprehensive text which prioritizes the viewpoint of negative sectional curvature and collects stronger results unique to this case. 



Geometry of ends of a finite volume negatively curved manifold
Many papers of P. Eberlein on geodesic flows on negatively curved manifolds are good. Also, a paper of Heintze - Im Hof on the Geometry of horospheres could be useful ? 
There is also a book of Eberlein (very useful, as Ballmann-Gromov-Schroeder), which has maybe the same title (Geometry of nonpositively curved manifolds ?) 


A book of Ballmann is also interesting and very useful
<http://people.mpim-bonn.mpg.de/hwbllmnn/archiv/NPC0606.pdf>


Good lecture!


Barbara


