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Volumn 214, Issue 1, 2000, Pages 137-189

Scalar curvature deformation and a gluing construction for the Einstein constraint equations

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EID: 0034288767     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005533     Document Type: Article
Times cited : (376)

References (36)
  • 1
    • 0000177308 scopus 로고
    • Coordinate invariance and energy expressions in general relativity
    • [A-D-M] Arnowitt, R., Deser, S., Misner, C.: Coordinate invariance and energy expressions in general relativity. Phys. Rev. 122, 997-1006 (1961)
    • (1961) Phys. Rev. , vol.122 , pp. 997-1006
    • Arnowitt, R.1    Deser, S.2    Misner, C.3
  • 2
    • 0001104071 scopus 로고
    • A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order
    • [A] Aronszajn, N.: A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order. J. Math. Pures Appl. 36, 235-249 (1957)
    • (1957) J. Math. Pures Appl. , vol.36 , pp. 235-249
    • Aronszajn, N.1
  • 5
    • 84990556234 scopus 로고
    • The mass of an asymptotically flat manifold
    • [Ba1] Bartnik, R.: The Mass of an Asymptotically Flat Manifold. Comm. Pure and Appl. Math. 39, 661-693 (1986)
    • (1986) Comm. Pure and Appl. Math. , vol.39 , pp. 661-693
    • Bartnik, R.1
  • 6
    • 0001310730 scopus 로고
    • New definition of quasilocal mass
    • [Ba2] Bartnik, R.: New Definition of Quasilocal Mass. Phys. Rev. Lett. 62, 2346-2348 (1989)
    • (1989) Phys. Rev. Lett. , vol.62 , pp. 2346-2348
    • Bartnik, R.1
  • 7
    • 0003149813 scopus 로고    scopus 로고
    • Energy in general relativity
    • Yau, S.-T. (ed.) Cambridge, MA: International Press
    • [Ba3] Bartnik, R.: Energy in General Relativity. In: Yau, S.-T. (ed.) Tsing Hua Lectures on Geometry and Analysis. Cambridge, MA: International Press, 1997, pp. 5-27
    • (1997) Tsing Hua Lectures on Geometry and Analysis , pp. 5-27
    • Bartnik, R.1
  • 13
    • 84972566098 scopus 로고
    • Deformations of the Scalar Curvature
    • [F-M] Fischer, A.E., Marsden, J.E.: Deformations of the Scalar Curvature. Duke Math. J. 42, 519-547 (1975)
    • (1975) Duke Math. J. , vol.42 , pp. 519-547
    • Fischer, A.E.1    Marsden, J.E.2
  • 15
    • 0004203250 scopus 로고
    • Redwood City, CA: Addison-Wesley
    • [Gr] Gray, A.: Tubes. Redwood City, CA: Addison-Wesley, 1990
    • (1990) Tubes
    • Gray, A.1
  • 18
    • 21844481319 scopus 로고
    • Constant Mean Curvature Solutions of the Einstein Constraint Equations on Closed Manifolds
    • [I] Isenberg, J.: Constant Mean Curvature Solutions of the Einstein Constraint Equations on Closed Manifolds. Class. Quant. Grav. 12, 2249-2274 (1995)
    • (1995) Class. Quant. Grav. , vol.12 , pp. 2249-2274
    • Isenberg, J.1
  • 19
    • 0000119732 scopus 로고
    • Complete Constant Mean Curvature Surfaces in Euclidean Three-space
    • [K] Kapouleas, N.: Complete Constant Mean Curvature Surfaces in Euclidean Three-space. Ann. of Math. 131, 239-330 (1990)
    • (1990) Ann. of Math. , vol.131 , pp. 239-330
    • Kapouleas, N.1
  • 20
    • 84968518038 scopus 로고
    • The Yamabe Problem
    • [L-P] Lee, J.M., Parker, T.H.: The Yamabe Problem. Bull. AMS. 17, 37-91 (1987)
    • (1987) Bull. AMS. , vol.17 , pp. 37-91
    • Lee, J.M.1    Parker, T.H.2
  • 21
    • 0033419918 scopus 로고    scopus 로고
    • Scalar Curvature and Hammocks
    • [L] Lohkamp, J.: Scalar Curvature and Hammocks. Math. Ann. 313, no. 3, 384-407 (1999)
    • (1999) Math. Ann. , vol.313 , Issue.3 , pp. 384-407
    • Lohkamp, J.1
  • 22
  • 27
    • 0001107969 scopus 로고
    • Variational Theory for the Total Scalar Curvature Functional for Riemannian Metrics and Related Topics
    • Giaquinta, M. (ed.) Berlin: Springer-Verlag
    • [S1] Schoen, R.M.: Variational Theory for the Total Scalar Curvature Functional for Riemannian Metrics and Related Topics. In: Giaquinta, M. (ed.) Topics in the Calculus of Variations. Lecture Notes in Math., 1365, Berlin: Springer-Verlag, 1987, pp. 120-154
    • (1987) Topics in the Calculus of Variations. Lecture Notes in Math. , vol.1365 , pp. 120-154
    • Schoen, R.M.1
  • 28
    • 84990556252 scopus 로고
    • The Existence of Weak Solutions with Prescribed Singular Behavior for a Conformally Invariant Scalar Equation
    • [S2] Schoen, R.M.: The Existence of Weak Solutions with Prescribed Singular Behavior for a Conformally Invariant Scalar Equation. Comm. Pure and Appl. Math. 41, 317-392 (1988)
    • (1988) Comm. Pure and Appl. Math. , vol.41 , pp. 317-392
    • Schoen, R.M.1
  • 30
    • 34250263023 scopus 로고
    • On the Proof of the Positive Mass Conjecture in General Relativity
    • [S-Y2] Schoen, R.M., Yau, S.-T.: On the Proof of the Positive Mass Conjecture in General Relativity. Commun. Math. Phys. 65, 45-76 (1979)
    • (1979) Commun. Math. Phys. , vol.65 , pp. 45-76
    • Schoen, R.M.1    Yau, S.-T.2
  • 31
    • 0002081241 scopus 로고
    • The Energy and Linear Momentum of Spacetimes in General Relativity
    • [S-Y3] Schoen, R.M., Yau, S.-T.: The Energy and Linear Momentum of Spacetimes in General Relativity. Commun. Math. Phys. 79, 47-51 (1981)
    • (1981) Commun. Math. Phys. , vol.79 , pp. 47-51
    • Schoen, R.M.1    Yau, S.T.2
  • 32
    • 29244463784 scopus 로고
    • Proof of the Positive Mass Theorem. II
    • [S-Y4] Schoen, R.M., Yau, S.-T.: Proof of the Positive Mass Theorem. II. Commun. Math. Phys. 79, 231-260 (1981)
    • (1981) Commun. Math. Phys. , vol.79 , pp. 231-260
    • Schoen, R.M.1    Yau, S.T.2
  • 36
    • 33744727108 scopus 로고
    • A new proof of the positive energy theorem
    • [Wi] Witten, E. A new proof of the positive energy theorem. Commun. Math. Phys. 80, 381-402 (1981)
    • (1981) Commun. Math. Phys. , vol.80 , pp. 381-402
    • Witten, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.