On almost contact structures belonging to a CR-structure
نویسندگان
چکیده
منابع مشابه
Reducing almost Lagrangian structures and almost CR geometries to partially integrable structures
This paper demostrates a method for analysing almost CR geometries (H, J), by uniquely defining a partially integrable structure (H,K) from the same data. Thus two almost CR geometries (H,J) and (H ′, J ′) are equivalent if and and only if they generate isomorphic induced partially integrable CR geometries (H,K) and (H ′, K′), and the set of CR morphisms between these spaces contains an element...
متن کاملNormal Forms for Nonintegrable Almost Cr Structures
We propose two constructions extending the Chern-Moser normal form to non-integrable Levi-nondegenerate (hypersurface type) almost CR structures. One of them translates the ChernMoser normalization into pure intrinsic setting, whereas the other directly extends the (extrinsic) Chern-Moser normal form by allowing non-CR embeddings that are in some sense “maximally CR”. One of the main difference...
متن کاملA Normal Form for All Levi-nondegenerate Almost Cr Structures
We propose a unified normal form for all Levi-nondegenerate hypersurface type almost CR structures.
متن کاملAlmost Contact Metric Structures on 5-Dimensional Nilpotent Lie Algebras
We study almost contact metric structures on 5-dimensional nilpotent Lie algebras and investigate the class of left invariant almost contact metric structures on corresponding Lie groups. We determine certain classes that a five-dimensional nilpotent Lie group can not be equipped with.
متن کاملClassification of contact structures associated with the CR-structure of the complex indicatrix
By regarding the complex indicatrix as an embedded CR-hypersurface of the holomorphic tangent bundle in a fixed point, we analyze some aspects of the relations between its CR structure and the considered contact structure. Moreover, using the classification of the almost contact metric structures associated with a strongly pseudo-convex CRstructure, of D. Chinea and C. Gonzales, we determine th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 1980
ISSN: 0386-5991
DOI: 10.2996/kmj/1138036125