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Geometric Analysis Around Scalar Curvatures

This volume contains three expanded lecture notes from the program Scalar Curvature in Manifold Topology and Conformal Geometry that;

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Generalized Curvatures

standard scalar product. Let us state precisely what we mean by a geometric quantity. Consider a subset N S of points of the N-dimensional;

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Riemann-finsler Geometry

discussions on important curvatures such as the Cartan torsion, the S-curvature, the Landsberg curvature and the Riemann curvature. It also deals with;

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Riemann-finsler Geometry

discussions on important curvatures such as the Cartan torsion, the S-curvature, the Landsberg curvature and the Riemann curvature. It also deals with;

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Extrinsic Geometry of Foliations

described using integral and variation formulas, extrinsic geometric flows, generalizations of the Ricci and scalar curvatures, pseudo-Riemannian;

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Extrinsic Geometry of Foliations

described using integral and variation formulas, extrinsic geometric flows, generalizations of the Ricci and scalar curvatures, pseudo-Riemannian;

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Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces

curvature estimates for such surfaces, and, using results from potential theory and harmonic analysis, it addresses geometric and analytic methods;

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Curvature Measures of Singular Sets

, in particular, rectifiable currents are applied, and some important integral-geometric formulas are derived. Moreover, an approach to curvatures for a;

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Handbook of Geometric Analysis, No. 1

Geometric Analysis combines differential equations with differential geometry. An important aspect of geometric analysis is to approach;

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Geometric Analysis

This book covers recent advances in several important areas of geometric analysis including extremal eigenvalue problems, mini-max methods;

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Methods of Algebraic Geometry in Control Theory

flavor , of the core ideas in the algebra-geometric treatment of scalar linear system theory. Part II extends the theory to multivariable systems;

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Geometric Properties & Problems of Thick Knots

In geometric knot theory, a central issue is to study the various geometric properties of knots when the knots have certain thickness. This;

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Topics in Extrinsic Geometry of Codimension One Foliations

lead to important geometric results. The Integral Formulae, introduced in chapter 1, is a useful for problems such as: prescribing higher;

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The Decomposition of Global Conformal Invariants (AM-182)

given manifold. These functionals act on a metric by first constructing a Riemannian scalar out of it, and then integrating this scalar over the;

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Decomposition Of Global Conformal Invariants

given manifold. These functionals act on a metric by first constructing a Riemannian scalar out of it, and then integrating this scalar over the;

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Selected Papers from the Journal of Differential Geometry 1967-2017, Volume 4

This volume presents twelve important papers which have formed some the cornerstones of geometric analysis. Their subject matter ranges;

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Riemannian Geometry and Geometric Analysis

, connections and curvature; the basic models and tools of geometric analysis, such as harmonic functions, forms, mappings, eigenvalues, the Dirac;

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An Introduction to Vectors, Vector Operators and Vector Analysis

using vector algebra. The third unit deals with vector analysis, discussing vector valued functions of a scalar variable and functions of vector;

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Riemannian Geometry and Geometric Analysis

emphasises the geometric aspects and integrates it into the context of Riemannian geometry and geometric analysis. It also gives a new presentation;

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Geometric Analysis

Institute session on Geometric Analysis. The papers give excellent high-level introductions, suitable for graduate students wishing to enter the;

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Geometry Of Spherical Space Form Groups, The (Second Edition)

This volume focuses on discussing the interplay between the analysis, as exemplified by the eta invariant and other spectral invariants;

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Covariant Schroedinger Semigroups on Riemannian Manifolds

from geometric analysis, stochastic analysis, spectral theory, and mathematical physics..;

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Solving Geometric Constraint Systems

Solving Geometric Constraints records and explains the formal basis for graphical analysis techniques that have been used for;

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Geometric Analysis: In Honor of Gang Tian's 60th Birthday

analysis and related PDEs. The book is of significant interest for researchers, including advanced Ph.D. students, working in geometric analysis;

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Discourse Perspective of Geometric Thoughts

. It also contributes to our understanding of human thinking that is illustrated through the analysis of geometric discourse accompanied by;

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The Visualization of Second-Order Tensor Fields

of continuous scalar, vector, or second-order tensor fields extending across a n-dimensional space, with n less than 1. While research efforts aimed at;

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Computational Finance

has the unique feature that it is structured around the simple requirement of objective science: the geometric structure of the data = the;

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