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Moduli Spaces of Riemannian Metrics
This book studies certain spaces of Riemannian metrics on both compact and non-compact manifolds. These spaces are defined by various sign-based curvature conditions, with special attention paid to positive scalar curvature and non-negative sectional curvature, though we also consider positive Ricci and non-positive sectional curvature. If we form the quotient of such a space of metrics under t…
- Edition
- 1
- ISBN/ISSN
- 978-3-0348-0948-1
- Collation
- -
- Series Title
- Oberwolfach Seminars
- Call Number
- -
The Spectrum of Hyperbolic Surfaces
This text is an introduction to the spectral theory of the Laplacian on compact or finite area hyperbolic surfaces. For some of these surfaces, called “arithmetic hyperbolic surfaces”, the eigenfunctions are of arithmetic nature, and one may use analytic tools as well as powerful methods in number theory to study them. After an introduction to the hyperbolic geometry of surfaces, with a …
- Edition
- -
- ISBN/ISSN
- 978-3-319-27666-3
- Collation
- -
- Series Title
- -
- Call Number
- -
Minimum Action Curves in Degenerate Finsler Metrics
Presenting a study of geometric action functionals (i.e., non-negative functionals on the space of unparameterized oriented rectifiable curves), this monograph focuses on the subclass of those functionals whose local action is a degenerate type of Finsler metric that may vanish in certain directions, allowing for curves with positive Euclidean length but with zero action. For such functionals, …
- Edition
- 1
- ISBN/ISSN
- 978-3-319-17752-6
- Collation
- XV, 186
- Series Title
- Lecture Notes in Mathematics
- Call Number
- -
Methods of Solving Nonstandard Problems
This book, written by an accomplished female mathematician, is the second to explore nonstandard mathematical problems – those that are not directly solved by standard mathematical methods but instead rely on insight and the synthesis of a variety of mathematical ideas. It promotes mental activity as well as greater mathematical skills, and is an ideal resource for successful preparation fo…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-19886-6
- Collation
- XXI, 327
- Series Title
- -
- Call Number
- -
Geometry
Geometry is used in many areas—from art to science. For example, geometry plays a key role in construction, fashion design, architecture, and computer graphics. This course focuses on the main ideas of geometry that are the foundation of applications of geometry used everywhere. In this chapter, you’ll study the basic elements of geometry. Later you will prove things about geometric shapes …
- Edition
- -
- ISBN/ISSN
- -
- Collation
- -
- Series Title
- -
- Call Number
- 516
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