GREATER CHINA FUND INC
SC 13G, 1998-02-23
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<PAGE>   1


           




                                  UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                  SCHEDULE 13G



                    Under the Securities Exchange Act of 1934



                          The Greater China Fund, Inc.
                          ----------------------------
                                (Name of Issuer)

                                  Common Stock
                                  ------------
                         (Title of Class of Securities)

                                    39167B102
                                    ---------
                                 (CUSIP Number)



Check the following box if a fee is being paid with this statement / /. (A fee
is not required only if the filing person: (1) has a previous statement on file
reporting beneficial ownership of more than five percent of the class of
securities described in Item 1; and (2) has filed no amendment subsequent
thereto reporting beneficial ownership of five percent or less of such class.)
(See Rule 13d-7).

*The remainder of this cover page shall be filled out for a reporting person's
initial filing on this form with respect to the subject class of securities, and
for any subsequent amendment containing information which would alter the
disclosures provided in prior cover page.

The information required in the remainder of this cover page shall not be deemed
to be "filed" for the purpose of Section 18 of the Securities Exchange Act of
1934 ("Act") or otherwise subject to the liabilities of that section of the Act
but shall be subject to all other provisions of the Act (however, see the
Notes).





                                                                     Page 1 of 5
<PAGE>   2



                                  SCHEDULE 13G

CUSIP NO.         39167B102
                  ---------

- --------------------------------------------------------------------------------
1.       NAME OF REPORTING PERSON
         S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

         City of London Investment Management Company Limited, a company
         incorporated under the laws of England & Wales

- --------------------------------------------------------------------------------
2. CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP* (a) / /.

                                                     (b) / /.
- --------------------------------------------------------------------------------

3.       SEC USE ONLY


- --------------------------------------------------------------------------------
4.       CITIZENSHIP OR PLACE OF ORGANIZATION

         Great Britain

- --------------------------------------------------------------------------------
                                5.       SOLE VOTING POWER
                                         1,154,740
          NUMBER OF
                                -------- ---------------------------------------
            SHARES              6.       SHARED VOTING POWER
         BENEFICIALLY                    0
           OWNED BY
                                -------- ---------------------------------------
             EACH               7.       SOLE DISPOSITIVE POWER
          REPORTING                      1,154,740
            PERSON
                                -------- ---------------------------------------
             WITH               8.       SHARED DISPOSITIVE POWER
                                         0

- ------------------------------- -------- ---------------------------------------
9.       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
         1,154,740

- --------------------------------------------------------------------------------
10.      CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN
         SHARES* / /.

- --------------------------------------------------------------------------------
11.      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9
         9.2%

- --------------------------------------------------------------------------------
12.      TYPE OF REPORTING PERSON*
         IA

- --------------------------------------------------------------------------------
                      *SEE INSTRUCTION BEFORE FILLING OUT!

                                                                     Page 2 of 5
<PAGE>   3


                            STATEMENT ON SCHEDULE 13G


Item 1(a).          Name of Issuer:
                    ---------------

                    The Greater China Fund, Inc.

Item 1(b).          Address of Issuer's Principal Executive Offices:
                    ------------------------------------------------

                    1285 Avenue of the Americas,
                    New York,
                    New York, 10019

Item 2(a).          Names of Person Filing:
                    -----------------------

                    City of London Investment Management Company Limited

Item 2(b).          Address of Principal Business Office or, if none, Residence:
                    -----------------------------------------------------------

                    10 Eastcheap
                    London EC3M IAJ
                    England

Item 2(c).          Citizenship:
                    ------------

                    Great Britain

Item 2(d).          Title of Class of Securities:
                    -----------------------------

                    Common Stock

Item 2(e).          CUSIP Number:
                    -------------

                    39167B102



Item 3.             If this statement is filed pursuant to Rules
                    13d-1(b), or 13d-2(b), check whether the person
                    filing is a:
                    ------------------------------------------------

                    (a) / / Broker or Dealer registered under Section 15 of the
                       Act

                    (b) / / Bank as defined in section 3(a)(6) of the Act

                    (c) / / Insurance Company as defined in section 3(a)(19) of
                       the Act

                    (d) / / Investment Company registered under section 8 of the
                       Investment Company Act

                    (e) /X/ Investment Advisor registered under section 203 of
                       the Investment Advisers Act

                    (f) / / Employee Benefit Plan, Pension Fund which is subject
                       to the provisions of the Employee Retirement Income
                       Security Act of 1974 or Endowment Fund; see
                       Section 240.13d-1(b)(ii)(F) (Note: See Item 7)

                    (g) / / Parent Holding Company, in accordance with
                       Section 240.13d-1(b)(ii)(G).

                                                                     Page 3 of 5
<PAGE>   4

                    (Note: See Item 7)
                    (h) / / Group, in accordance with Sec. 240.13d-1(b)(ii)(H).

Item 4.  Ownership:
         ---------

         (a) Amount Beneficially Owned: 1,154,740 as of 30th January, 1998
                                        ---------

         (b) Percent of Class: 9.2%
                               ----

         (c) Number of shares as to which such person has:

                (i) sole power to vote or to direct the vote: 1,154,740
                                                              ---------

                (ii) shared power to vote or to direct the vote:     0
                                                                 -------
                (iii)sole power to dispose or to direct the disposition of:
                     1,154,740
                     ---------

                (iv) shared power to dispose or to direct the disposition of:
                         0
                     --------------

Item 5.         Ownership of Five Percent or Less of a Class:
                ---------------------------------------------

                Not Applicable


Item 6.         Ownership of More than Five Percent on Behalf of Another Person:
                ----------------------------------------------------------------

                Not Applicable

Item 7.         Identification and Classification of the Subsidiary Which
                ---------------------------------------------------------
              
                Acquired the Security Being Reported on By the Parent Holding
                -------------------------------------------------------------
             
                Company:
                --------

                Not Applicable

Item 8.         Identification and Classification of Members of the Group:
                ----------------------------------------------------------

                Not Applicable

Item 9.         Notice of Dissolution of Group:
                -------------------------------

                Not Applicable

Item 10.        Certification:
                --------------

                 By signing below, I certify that, to the best of my knowledge
                 and belief, the securities referred to above were acquired in
                 the ordinary course of business and were not acquired for the
                 purpose of and do not have the effect of changing or
                 influencing the control of the issuer of such securities and
                 were not acquired in connection with or as a participant in any
                 transaction having such purposes or effect.

                                                                     Page 4 of 5
<PAGE>   5


Signature


After reasonable inquiry and to the best of my knowledge and belief, I certify
that the information set forth in this statement is true, complete and correct.


Dated: 9th February, 1998
       ------------------
                                                 /s/   D.F. Allison
                                                 _____________________________
                                                 Name: D. F. Allison
                                                 Title: Company Secretary



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