Real and Complex Submanifolds

Table of Contents

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   Book Overview
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   Chapter 1 Generalizations of the Catenoid and the Helicoid
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   Chapter 2 Harmonic Functions and Parallel Mean Curvature Surfaces
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   Chapter 3 A New Technique for the Study of Complete Maximal Hypersurfaces in Certain Open Generalized Robertson–Walker Spacetimes
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   Chapter 4 Totally Geodesic Submanifolds of Riemannian Symmetric Spaces
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   Chapter 5 Canonical Connection on Contact Manifolds
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   Chapter 6 Recent Progress in Isoparametric Functions and Isoparametric Hypersurfaces
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   Chapter 7 Information Geometry of Barycenter Map
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   Chapter 8 Stability of Complete Minimal Lagrangian Submanifold and L 2 Harmonic 1-Forms
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    Chapter 9 Bonnesen-Style Symmetric Mixed Isoperimetric Inequality
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    Chapter 10 Cho Operators on Real Hypersurfaces in Complex Projective Space
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    Chapter 11 Geometry of Lagrangian Submanifolds Related to Isoparametric Hypersurfaces
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    Chapter 12 Isometric Deformations of Surfaces with Singularities
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    Chapter 13 Beyond Generalized Sasakian-Space-Forms!
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    Chapter 14 Some Geometric Aspects of the Hessian One Equation
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    Chapter 15 Affine Isoperimetric Inequalities for L p Geominimal Surface Area
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    Chapter 16 Real Hypersurfaces in Complex Two-Plane Grassmannians with Commuting Jacobi Operators
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    Chapter 17 Parallelism on Jacobi Operators for Hopf Hypersurfaces in Complex Two-Plane Grassmannians
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    Chapter 18 The *-Ricci Tensor of Real Hypersurfaces in Symmetric Spaces of Rank One or Two
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    Chapter 19 On Totally Geodesic Surfaces in Symmetric Spaces of Type AI
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    Chapter 20 Examples of Non-Kähler Solvmanifolds Admitting Hodge Decomposition
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    Chapter 21 Some Characterizations of Real Hypersurfaces in Complex Hyperbolic Two-Plane Grassmannians
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    Chapter 22 Heat Content Asymptotics on a Compact Riemannian Manifold with Boundary
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    Chapter 23 Real Hypersurfaces in Complex Two-Plane Grassmannians with Recurrent Structure Jacobi Operator
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    Chapter 24 The Warped Product Approach to GMGHS Spacetime
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    Chapter 25 Reeb Flow Invariant Ricci Tensors
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    Chapter 26 Totally Geodesic Surfaces of Riemannian Symmetric Spaces
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    Chapter 27 The Geometry on Hyper-Kähler Manifolds of Type A ∞
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    Chapter 28 The Fixed Point Set of a Holomorphic Isometry and the Intersection of Two Real Forms in the Complex Grassmann Manifold
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    Chapter 29 Canonical Forms Under Certain Actions on the Classical Compact Simple Lie Groups
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    Chapter 30 Elementary Deformations and the HyperKähler-Quaternionic Kähler Correspondence
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    Chapter 31 A Classification of Ricci Solitons as ( k , μ )-Contact Metrics
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    Chapter 32 Real Hypersurfaces in Kähler Manifolds
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    Chapter 33 L p -Spectral Gap and Gromov-Hausdorff Convergence
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    Chapter 34 Riemannian Questions with a Fundamental Differential System
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    Chapter 35 Lagrangian Intersection Theory and Hamiltonian Volume Minimizing Problem
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    Chapter 36 An $$SL_{2}(\mathbb{C})$$ Topological Invariant of Knots
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    Chapter 37 The Möbius Geometry of Wintgen Ideal Submanifolds
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    Chapter 38 Floer Homology for the Gelfand-Cetlin System
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    Chapter 39 The Regularized Mean Curvature Flow for Invariant Hypersurfaces in a Hilbert Space
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    Chapter 40 Harmonic Maps into Grassmannians
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    Chapter 41 Conformal Transformations Between Complete Product Riemannian Manifolds
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    Chapter 42 Orbifold Holomorphic Discs and Crepant Resolutions
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    Chapter 43 On the Hamiltonian Minimality of Normal Bundles
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    Chapter 44 Construction of Coassociative Submanifolds
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    Chapter 45 Calibrations and Manifolds with Special Holonomy
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    Chapter 46 Sequences of Maximal Antipodal Sets of Oriented Real Grassmann Manifolds