Các định lý so sánh thể tích cho các đa tạp Lorentz

Geometriae Dedicata - Tập 73 - Trang 39-56 - 1998
Paul E. Ehrlich1, Yoon-Tae Jung1, Seon-Bu Kim2
1Department of Mathematics, The University of Florida, Gainesville, U.S.A. e-mail
2Department of Mathematics, Chonnam National University, Kwangju, S. Korea; e-mail

Tóm tắt

Sử dụng các kỹ thuật phương trình Riccati và phương trình Raychaudhuri từ Tương đối tính tổng quát, chúng tôi thu được các kết quả so sánh thể tích cho các hình nêm đo đạc compact trong tương lai thời gian của một điểm nào đó trong không gian-thời gian hyperbolic toàn cục và các hình nêm tương ứng trong dạng không gian Lorentz.

Từ khóa

#định lý so sánh thể tích #đa tạp Lorentz #phương trình Riccati #phương trình Raychaudhuri #không gian-thời gian hyperbolic

Tài liệu tham khảo

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