Heat Kernel Bounds for Complex Time on Hyperbolic Spaces and Solvable Extensions of H-type Groups
, 1997 Solvable extensions of H-type groups provide a unified approach to noncompact symmetric spaces of rank one. In this paper we prove optimal pointwise estimates for the heat kernel for complex time p_z.
GIULINI, SAVERIO, MEDA S.
core +1 more source
On line bundles arising from the LCK structure over locally conformal Kähler solvmanifolds
Complex ManifoldsWe can construct a real line bundle arising from the locally conformal Kähler (LCK) structure over an LCK manifold. We study the properties of this line bundle over an LCK solvmanifold whose complex structure is left-invariant. Mainly, we prove that this
Yamada Takumi
doaj +1 more source
Invariant and non-invariant almost complex structures on compact quotients of Lie groups
Complex ManifoldsIn this article, we briefly survey the classical problem of understanding which Lie algebras admit a complex structure, put in the broader perspective of almost complex structures with special properties.
Sillari Lorenzo, Tomassini Adriano
doaj +1 more source
Multicomplexes on Carnot Groups and Their Associated Spectral Sequence. [PDF]
J Geom Anal, 2023 Lerario A, Tripaldi F.
europepmc +1 more source
On rectifiable measures in Carnot groups: representation. [PDF]
Calc Var Partial Differ Equ, 2022 Antonelli G, Merlo A.
europepmc +1 more source
Minimal Geodesics and Nilpotent Fundamental Groups
, 1996 . Hedlund [18] constructed Riemannian metrics on n-tori, n 3 for which minimal geodesics are very rare. In this paper we construct similar examples for every nilpotent fundamental group.
Bernd Ammann
core
Polynomial and horizontally polynomial functions on Lie groups. [PDF]
Ann Mat Pura Appl, 2022 Antonelli G, Le Donne E.
europepmc +1 more source
On Rectifiable Measures in Carnot Groups: Existence of Density. [PDF]
J Geom Anal, 2022 Antonelli G, Merlo A.
europepmc +1 more source
Adaptive Laboratory Evolution Restores Solvent Tolerance in Plasmid-Cured Pseudomonas putida S12: a Molecular Analysis. [PDF]
Appl Environ Microbiol, 2021 Kusumawardhani H +7 more
europepmc +1 more source
Blow-up of regular submanifolds in Heisenberg groups and applications
Open Mathematics, 2006 Magnani Valentino
doaj +1 more source