The Pullback Equation for Differential Forms

Authors:

ISBN: 978-0-8176-8312-2 (Print) 978-0-8176-8313-9 (Online)

Table of contents (19 chapters)

  1. Front Matter

    Pages i-xi

  2. No Access

    Book Chapter

    Pages 1-29

    Introduction

  3. Exterior and Differential Forms

    1. Front Matter

      Pages 31-31

    2. No Access

      Book Chapter

      Pages 33-74

      Exterior Forms and the Notion of Divisibility

    3. No Access

      Book Chapter

      Pages 75-90

      Differential Forms

    4. No Access

      Book Chapter

      Pages 91-97

      Dimension Reduction

  4. Hodge–Morrey Decomposition and Poincare Lemma

    1. Front Matter

      Pages 99-99

    2. No Access

      Book Chapter

      Pages 101-120

      An Identity Involving Exterior Derivatives and Gaffney Inequality

    3. No Access

      Book Chapter

      Pages 121-133

      The Hodge–Morrey Decomposition

    4. No Access

      Book Chapter

      Pages 135-146

      First-Order Elliptic Systems of Cauchy–Riemann Type

    5. No Access

      Book Chapter

      Pages 147-177

      Poincaré Lemma

    6. No Access

      Book Chapter

      Pages 179-188

      The Equation divu = f

  5. The Case k = n

    1. Front Matter

      Pages 189-189

    2. No Access

      Book Chapter

      Pages 191-210

      The Case f · g > 0

    3. No Access

      Book Chapter

      Pages 211-252

      The Case Without Sign Hypothesis on f

  6. The Case 0 < k < n - 1

    1. Front Matter

      Pages 253-253

    2. No Access

      Book Chapter

      Pages 255-265

      General Considerations on the Flow Method

    3. No Access

      Book Chapter

      Pages 267-283

      The Cases k = 0 and k = 1

    4. No Access

      Book Chapter

      Pages 285-317

      The Case k = 2

    5. No Access

      Book Chapter

      Pages 319-331

      The Case 3 ≤ kn−1

  7. Holder Spaces

    1. Front Matter

      Pages 333-333

    2. No Access

      Book Chapter

      Pages 335-404

      Hölder Continuous Functions

  8. Appendix

    1. Front Matter

      Pages 405-405

    2. No Access

      Book Chapter

      Pages 407-412

      Necessary Conditions

    3. No Access

      Book Chapter

      Pages 413-416

      An Abstract Fixed Point Theorem

    4. No Access

      Book Chapter

      Pages 417-424

      Degree Theory

  9. Back Matter

    Pages 425-436