The Resource Maximum Principles and Geometric Applications, by Luis J. Alías, Paolo Mastrolia, Marco Rigoli, (electronic resource)

Maximum Principles and Geometric Applications, by Luis J. Alías, Paolo Mastrolia, Marco Rigoli, (electronic resource)

Label
Maximum Principles and Geometric Applications
Title
Maximum Principles and Geometric Applications
Statement of responsibility
by Luis J. Alías, Paolo Mastrolia, Marco Rigoli
Creator
Contributor
Author
Provider
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
http://library.link/vocab/creatorName
Alías, Luis J
Image bit depth
0
LC call number
QA614-614.97
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Mastrolia, Paolo.
  • Rigoli, Marco.
  • SpringerLink
Series statement
Springer Monographs in Mathematics,
http://library.link/vocab/subjectName
  • Mathematics
  • Global analysis (Mathematics)
  • Manifolds (Mathematics)
  • Partial differential equations
  • Geometry
  • Mathematics
  • Global Analysis and Analysis on Manifolds
  • Partial Differential Equations
  • Geometry
Label
Maximum Principles and Geometric Applications, by Luis J. Alías, Paolo Mastrolia, Marco Rigoli, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
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
Dimensions
unknown
Edition
1st ed. 2016.
Extent
XXVII, 570 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783319243375
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-24337-5
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-24337-5
Label
Maximum Principles and Geometric Applications, by Luis J. Alías, Paolo Mastrolia, Marco Rigoli, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
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
Dimensions
unknown
Edition
1st ed. 2016.
Extent
XXVII, 570 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783319243375
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-24337-5
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-24337-5

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