Semisymmetric contact metric manifolds of dimension $\geq 5$
نویسندگان
چکیده
منابع مشابه
Symmetries of Contact Metric Manifolds
We study the Lie algebra of infinitesimal isometries on compact Sasakian and K–contact manifolds. On a Sasakian manifold which is not a space form or 3– Sasakian, every Killing vector field is an infinitesimal automorphism of the Sasakian structure. For a manifold with K–contact structure, we prove that there exists a Killing vector field of constant length which is not an infinitesimal automor...
متن کاملRicci solitons in contact metric manifolds
In N(k)-contact metric manifolds and/or (k, μ)-manifolds, gradient Ricci solitons, compact Ricci solitons and Ricci solitons with V pointwise collinear with the structure vector field ξ are studied. Mathematics Subject Classification: 53C15, 53C25, 53A30.
متن کاملOn Contact Metric R-Harmonic Manifolds
In this paper we consider contact metric R-harmonic manifolds M with ξ belonging to (κ, μ)-nullity distribution. In this context we have κ ≤ 1. If κ < 1, then M is either locally isometric to the product E × S(4), or locally isometric to E(2) (the group of the rigid motions of the Euclidean 2-space). If κ = 1, then M is an Einstein-Sasakian manifold. Mathematics Subject Classification: 53C05, 5...
متن کاملContact Structures on 5–manifolds
Using recent work on high dimensional Lutz twists and families of Weinstein structures we show that any almost contact structure on a 5–manifold is homotopic to a contact structure.
متن کاملShape Dimension and Intrinsic Metric from Samples of Manifolds
We introduce the adaptive neighborhood graph as a data structure for modeling a smooth manifold M embedded in some Euclidean space . We assume that M is known to us only through a finite sample P ⊂ M , as it is often the case in applications. The adaptive neighborhood graph is a geometric graph on P . Its complexity is at most min{2O(k)n, n2}, where n = |P | and k = dim M , as opposed to the n ...
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: TURKISH JOURNAL OF MATHEMATICS
سال: 2018
ISSN: 1300-0098,1303-6149
DOI: 10.3906/mat-1612-107