Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
|
Buy Now
Geometric Realizations Of Curvature (Hardcover, New)
Loot Price: R2,842
Discovery Miles 28 420
|
|
Geometric Realizations Of Curvature (Hardcover, New)
Series: Icp Advanced Texts In Mathematics, 6
Expected to ship within 10 - 15 working days
|
A central area of study in Differential Geometry is the examination
of the relationship between the purely algebraic properties of the
Riemann curvature tensor and the underlying geometric properties of
the manifold. In this book, the findings of numerous investigations
in this field of study are reviewed and presented in a clear,
coherent form, including the latest developments and proofs. Even
though many authors have worked in this area in recent years, many
fundamental questions still remain unanswered. Many studies begin
by first working purely algebraically and then later progressing
onto the geometric setting and it has been found that many
questions in differential geometry can be phrased as problems
involving the geometric realization of curvature. Curvature
decompositions are central to all investigations in this area. The
authors present numerous results including the Singer-Thorpe
decomposition, the Bokan decomposition, the Nikcevic decomposition,
the Tricerri-Vanhecke decomposition, the Gray-Hervella
decomposition and the De Smedt decomposition. They then proceed to
draw appropriate geometric conclusions from these
decompositions.The book organizes, in one coherent volume, the
results of research completed by many different investigators over
the past 30 years. Complete proofs are given of results that are
often only outlined in the original publications. Whereas the
original results are usually in the positive definite (Riemannian
setting), here the authors extend the results to the
pseudo-Riemannian setting and then further, in a complex framework,
to para-Hermitian geometry as well. In addition to that, new
results are obtained as well, making this an ideal text for anyone
wishing to further their knowledge of the science of curvature.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.