Coverart for item
The Resource Maximum principles and geometric applications, Luis J. Alías, Paolo Mastrolia, Marco Rigoli, (electronic book)

Maximum principles and geometric applications, Luis J. Alías, Paolo Mastrolia, Marco Rigoli, (electronic book)

Label
Maximum principles and geometric applications
Title
Maximum principles and geometric applications
Statement of responsibility
Luis J. Alías, Paolo Mastrolia, Marco Rigoli
Creator
Contributor
Author
Subject
Language
eng
Summary
This monograph presents an introduction to some geometric and analytic aspects of the maximum principle. In doing so, it analyses with great detail the mathematical tools and geometric foundations needed to develop the various new forms that are presented in the first chapters of the book. In particular, a generalization of the Omori-Yau maximum principle to a wide class of differential operators is given, as well as a corresponding weak maximum principle and its equivalent open form and parabolicity as a special stronger formulation of the latter. In the second part, the attention focuses on a wide range of applications, mainly to geometric problems, but also on some analytic (especially PDEs) questions including: the geometry of submanifolds, hypersurfaces in Riemannian and Lorentzian targets, Ricci solitons, Liouville theorems, uniqueness of solutions of Lichnerowicz-type PDEs and so on. Maximum Principles and Geometric Applications is written in an easy style making it accessible to beginners. The reader is guided with a detailed presentation of some topics of Riemannian geometry that are usually not covered in textbooks. Furthermore, many of the results and even proofs of known results are new and lead to the frontiers of a contemporary and active field of research
Member of
Cataloging source
N$T
http://library.link/vocab/creatorName
Alías, Luis J
Dewey number
515/.353
Index
index present
LC call number
QA377
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Mastrolia, Paolo
  • Rigoli, Marco
Series statement
Springer monographs in mathematics,
http://library.link/vocab/subjectName
  • Maximum principles (Mathematics)
  • Geometry, Riemannian
Label
Maximum principles and geometric applications, Luis J. Alías, Paolo Mastrolia, Marco Rigoli, (electronic book)
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
A crash course in Riemannian geometry -- The Omori-Yau maximum principle -- New forms of the maximum principle -- Sufficient conditions for the validity of the weak maximum principle -- Miscellany results for submanifolds -- Applications to hypersurfaces -- Hypersurfaces in warped products -- Applications to Ricci Solitons -- Spacelike hypersurfaces in Lorentzian spacetimes
Control code
SPR939519343
Dimensions
unknown
Extent
1 online resource (xxvii, 570 pages).
File format
unknown
Form of item
online
Isbn
9783319243375
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-24337-5
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
Label
Maximum principles and geometric applications, Luis J. Alías, Paolo Mastrolia, Marco Rigoli, (electronic book)
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
A crash course in Riemannian geometry -- The Omori-Yau maximum principle -- New forms of the maximum principle -- Sufficient conditions for the validity of the weak maximum principle -- Miscellany results for submanifolds -- Applications to hypersurfaces -- Hypersurfaces in warped products -- Applications to Ricci Solitons -- Spacelike hypersurfaces in Lorentzian spacetimes
Control code
SPR939519343
Dimensions
unknown
Extent
1 online resource (xxvii, 570 pages).
File format
unknown
Form of item
online
Isbn
9783319243375
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-24337-5
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote

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