Global isometric embeddings of multiple warped product metrics into quadrics
نویسندگان
چکیده
منابع مشابه
Warped product and quasi-Einstein metrics
Warped products provide a rich class of physically significant geometric objects. Warped product construction is an important method to produce a new metric with a base manifold and a fibre. We construct compact base manifolds with a positive scalar curvature which do not admit any non-trivial quasi-Einstein warped product, and non compact complete base manifolds which do not admit any non-triv...
متن کاملNear Isometric Terminal Embeddings for Doubling Metrics
Given a metric space (X, d), a set of terminals K ⊆ X , and a parameter t ≥ 1, we consider metric structures (e.g., spanners, distance oracles, embedding into normed spaces) that preserve distances for all pairs inK ×X up to a factor of t, and have small size (e.g. number of edges for spanners, dimension for embeddings). While such terminal (aka source-wise) metric structures are known to exist...
متن کاملGeometric Quasi - Isometric Embeddings Into
We show that F has an infinite family of quasi-isometrically embedded subgroups of the form F m × Zn, for integral m, n ≥ 0. These subgroups have simple geometric but more complicated algebraic descriptions We present them to illustrate the intricate geometry of Thompson’s group F as well as the interplay between its standard finite and infinite presentations.
متن کاملIsometric Embeddings, Einstein Metrics and Extension of Isometries
We prove that continuous groups of isometries at a compact boundary (∂M, γ) extend to continuous groups of isometries of any Einstein filling manifold (M, g) provided, for instance, π1(M,∂M) = 0.
متن کاملOn induced and isometric embeddings of graphs into the strong product of paths
The strong isometric dimension and the adjacent isometric dimension of graphs are compared. The concepts are equivalent for graphs of diameter two in which case the problem of determining these dimensions can be reduced to a covering problem with complete bipartite graphs. Using this approach several exact strong and adjacent dimensions are computed (for instance of the Petersen graph) and a po...
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: 2015
ISSN: 0386-5991
DOI: 10.2996/kmj/1426684445