We study the question of the existence of left-invariant Sasaki contact structures on the seven-dimensional nilpotent Lie groups. It is shown that the only Lie group allowing Sasaki structure with a positive definite metric tensor is the Heisenberg group. We find a complete list of the 22 classes of seven-dimensional n…
On-device research index
arXiv research
A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
168,657 papers · 148 categories
Trend · papers per month
3 results for “pseudo-Sasaki”
The paper constructs Einstein Sasaki metrics on solvable Lie groups.
problem Constructing left-invariant Einstein pseudo-Riemannian Sasaki metrics on solvable Lie groups.
method Characterizing pseudo-Kähler structures and derivations giving rise to Sasaki-Einstein metrics.
result Classification of -standard Sasaki solvable Lie algebras of dimension .
Constructs immersions into pseudo-Riemannian spaces from equiaffine immersions.
problem Creating immersions into pseudo-Riemannian spaces from equiaffine immersions.
method Explicit construction using para-Sasaki metric and principal -bundle structure.
result Maximal spacelike submanifolds in with specific boundary conditions.