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1. Geometric Analysis : Cetraro, Italy 2018. 1st ed. 2020
by Ailana Fraser, André Neves, Peter M. Topping, Paul C. Yang ; edited by Matthew J. Gursky, Andrea Malchiodi
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: C.I.M.E. Foundation Subseries ; 2263
オンライン: https://doi.org/10.1007/978-3-030-53725-8
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2. Differential Geometry, Algebra, and Analysis : ICDGAA 2016, New Delhi, India, November 15–17. 1st ed. 2020
edited by Mohammad Hasan Shahid, Mohammad Ashraf, Falleh Al-Solamy, Yasunori Kimura, Gabriel Eduard Vilcu
出版情報: Singapore : Springer Singapore : Imprint: Springer, 2020
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 327
オンライン: https://doi.org/10.1007/978-981-15-5455-1
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Part 1 - Differential Geometry: S. Suzuki and Y. Matsuyama, On complete minimal submanifolds in a sphere
M. Belkhelfa and F. Z. Kadi, The study of Ricci semi symmetry of normal complex contact manifold
R. Sachdeva, R. Kumar and S. S. Bhatia, Warped product slant lightlike submanifolds of indefinite Kaehler manifolds
S. Pandey, R. Prasad and S. K. Verma, Concircular curvature tensor’s properties on Lorentzian para-Sasakian manifolds
Mohd. Aquib, F. R. Al-Solamy, M. Jamali, M. T. Aldossary and M. N. Boyom
Inequalities for statistical submanifolds in Sasakian statistical manifolds
J. Roy, L. I. Piscoran, S. K. Hui, Certain classes of warped product submanifolds of Sasakian manifolds and applications
M. Ahmad, Jae-Bok Jun and M. A. Qayyoom, Hypersurfaces of a metallic Riemannian manifold
M. S. Lone, Willmore surfaces in three dimensional simply isotropic spaces
Part 2 – Algebra: Luisa Cairini, Vincezo De Filippis and G. Scudo, Product of generalized derivations having commuting values on lie ideals
C. Haetinger, M. Ashraf and M. A. Siddeeque, Some extensions theorems in the ring of quotients of *-prime rings
M. Issoual and N. Mahdo, Rings in which every 2-absobing ideal is prime
N. Ur Rehman, M. A. Raza and M. R. Mozumder, A note on skew-commutators with derivations on ideals
N. Dehghani and M. R. Vedadi, A brief survey on semiprime and weakly compressible modules
H. Alhazmi, S. Ali, A. Abbasi and M. R. Mozumder, On commutativity of prime rings with involution involving pair of Derivations
Part 3 – Analysis: T. Ibaraki, S. Kajiba, and Y. Kimura, Approximation of a common fixed point of two nonlinear mappings with nonsummable errors in a Banach space
Y. Kimura, Convex minimization problems on geodesic spaces and the shrinking projection method with errors
T. Kawasaki, An extension of integrals
D. Kaur and R.K. Mohanty, A higher-order finite difference method for numerical solution of the Kuramoto-Sivashinsky equation
B. Kaur, An extension of the Robe’s problem
N. Rao, A. Wafi and S. Khatoon, Better rate of convergence by modified Integral type operators
R. Gandhi, S. K. Sharma and B. S. Komal, Generalized composition operators and Evaluation Kernel on weighted Hardy space
R. Ali and M. Shahzad, Common solution to generalized general variational-like inequality and hierarchical fixed point problems
Part 1 - Differential Geometry: S. Suzuki and Y. Matsuyama, On complete minimal submanifolds in a sphere
M. Belkhelfa and F. Z. Kadi, The study of Ricci semi symmetry of normal complex contact manifold
R. Sachdeva, R. Kumar and S. S. Bhatia, Warped product slant lightlike submanifolds of indefinite Kaehler manifolds
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3. Conformally Invariant Metrics and Quasiconformal Mappings. 1st ed. 2020
by Parisa Hariri, Riku Klén, Matti Vuorinen
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Springer Monographs in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-32068-3
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Part I: Introduction and Review
Introduction
A Survey of QuasiregularMappings
Part II: Conformal Geometry
Möbius Transformations
Hyperbolic Geometry
Generalized Hyperbolic Geometries
Metrics and Geometry
Part III: Modulus and Capacity
The Modulus of a Curve Family
The Modulus as a Set Function
The Capacity of a Condenser
Conformal Invariants
Part IV: Intrinsic Geometry
Hyperbolic Type Metrics
Comparison of Metrics
Local Convexity of Balls
Inclusion Results for Balls
Part V: QuasiregularMappings
Basic Properties of QuasiregularMappings
Distortion Theory
Dimension-Free Theory
Metrics and Maps
Teichmüller’s Displacement Problem
Part VI: Solutions
Solutions to Exercises
Part I: Introduction and Review
Introduction
A Survey of QuasiregularMappings
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4. Theory and Computation of Complex Tensors and its Applications. 1st ed. 2020
by Maolin Che, Yimin Wei
出版情報: Singapore : Springer Singapore : Imprint: Springer, 2020
オンライン: https://doi.org/10.1007/978-981-15-2059-4
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Preface
Introduction
The pseudo-spectrum theory
Perturbation theory
Tensor complementarity problems
Plane stochastic tensors
Neural Networks
US- and U-eigenpairs of complex tensors
Randomized algorithms
Bibliography
Index
Preface
Introduction
The pseudo-spectrum theory
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5. Lectures and Surveys on G2-Manifolds and Related Topics. 1st ed. 2020
edited by Spiro Karigiannis, Naichung Conan Leung, Jason D. Lotay
出版情報: New York, NY : Springer US : Imprint: Springer, 2020
シリーズ名: Fields Institute Communications ; 84
オンライン: https://doi.org/10.1007/978-1-0716-0577-6
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Part I
Introduction to G2 Geometry (S. Karigiannis)
Constructions of Compact G2-Holonomy Manifolds (A. Kovalev)
Calibrated Submanifolds (J.D. Lotay)
Calibrated Submanifolds in G2 Geometry (K.F. Chan, N.C. Leung)
Geometric Flows of G2 Structures (J.D. Lotay)
Part II
Distinguishing G2-Manifolds (D. Crowley, S. Goette, J. Nordstrom)
Gravitational Instantons and Degenerations of Ricci-flat Matrics on the K3 Surface (L. Foscolo)
Frolicher-Nijenhuis Bracket on Manifolds with Special Holonomy (K. Kawai, H.V. Le, L. Schwachhofer)
Distinguished G2-Structures on Solvmanifolds (J. Lauret)
On G2-Structures, Special Metrics, and Related Flows (M. Fernandez, A. Fino, A. Raffero)
Laplacian Flow for Closed G2 Structures (Y. Wei)
Flows of Co-Closed Gw-Structers (S. Grigorian)
G2-Instantons on Noncompact G2-Manifolds (J.D. Lotay, G. Oliveira)
Current Progress on G2-Instantons Over Twisted Connected Sums (H. Sa Earp)
Complex and Calibrated Geometry (K. Moore)
Deformations of Calibrated Submanifolds with Boundary (A. Kovalev)
Part I
Introduction to G2 Geometry (S. Karigiannis)
Constructions of Compact G2-Holonomy Manifolds (A. Kovalev)
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6. A Perspective on Canonical Riemannian Metrics. 1st ed. 2020
by Giovanni Catino, Paolo Mastrolia
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2020
シリーズ名: Progress in Mathematics ; 336
オンライン: https://doi.org/10.1007/978-3-030-57185-6
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Introduction
Basic Concepts of Riemannian Geometry
Commutations & Variations
The Weyl Tensor
Curvature Conditions
Critical Metrics of Riemannian Functionals
Bochner-Weitzenböck Formulas and Applications
Ricci Solitons: Selected Results
Existence Results of Canonical Metrics on Four Manifolds
List of Symbols
References
Index
Introduction
Basic Concepts of Riemannian Geometry
Commutations & Variations
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7. Global Riemannian Geometry: Curvature and Topology. 2nd ed. 2020
by Ana Hurtado, Steen Markvorsen, Maung Min-Oo, Vicente Palmer
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2020
シリーズ名: Advanced Courses in Mathematics - CRM Barcelona ;
オンライン: https://doi.org/10.1007/978-3-030-55293-0
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8. Riemannian Manifolds and Homogeneous Geodesics. 1st ed. 2020
by Valerii Berestovskii, Yurii Nikonorov
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Springer Monographs in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-56658-6
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9. Differential Geometry and Lie Groups : A Computational Perspective. 1st ed. 2020
by Jean Gallier, Jocelyn Quaintance
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Geometry and Computing ; 12
オンライン: https://doi.org/10.1007/978-3-030-46040-2
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1. The Matrix Exponential; Some Matrix Lie Groups
2. Adjoint Representations and the Derivative of exp
3. Introduction to Manifolds and Lie Groups
4. Groups and Group Actions
5. The Lorentz Groups ⊛
6. The Structure of O(p,q) and SO(p, q)
7. Manifolds, Tangent Spaces, Cotangent Spaces
8. Construction of Manifolds From Gluing Data ⊛
9. Vector Fields, Integral Curves, Flows
10. Partitions of Unity, Covering Maps ⊛
11. Basic Analysis: Review of Series and Derivatives
12. A Review of Point Set Topology.-13. Riemannian Metrics, Riemannian Manifolds
14. Connections on Manifolds
15. Geodesics on Riemannian Manifolds
16. Curvature in Riemannian Manifolds
17. Isometries, Submersions, Killing Vector Fields
18. Lie Groups, Lie Algebra, Exponential Map
19. The Derivative of exp and Dynkin's Formula ⊛
20. Metrics, Connections, and Curvature of Lie Groups
21. The Log-Euclidean Framework
22. Manifolds Arising from Group Actions
1. The Matrix Exponential; Some Matrix Lie Groups
2. Adjoint Representations and the Derivative of exp
3. Introduction to Manifolds and Lie Groups
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10. Geometric Continuum Mechanics. 1st ed. 2020
edited by Reuven Segev, Marcelo Epstein
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2020
シリーズ名: Advances in Continuum Mechanics ; 43
オンライン: https://doi.org/10.1007/978-3-030-42683-5
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Part I: Kinematics, Forces, and Stress Theory
Manifolds of Mappings for Continuum Mechanics
Notes on Global Stress and Hyper-Stress Theories
Applications of Algebraic Topology in Elasticity
De Donder Construction for Higher Jets
Part II: Defects, Uniformity, and Homogeneity
Regular and Singular Dislocations
Homogenization of Edge-Dislocations as a Weak Limit of de-Rham Currents
A Kinematics of Defects in Solid Crystals
Limits of Distributed Dislocations in Geometric and Constitutive Paradigms
On the Homogeneity of Non-Uniform Material Bodies
Part I: Kinematics, Forces, and Stress Theory
Manifolds of Mappings for Continuum Mechanics
Notes on Global Stress and Hyper-Stress Theories